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411423221240 = 235378310133161
BaseRepresentation
bin1011111110010101011…
…11000010010111111000
31110022221210101010121222
411333022233002113320
523220043321034430
6513001043251212
741503310452013
oct5771257022770
91408853333558
10411423221240
11149535756609
12678a0979b08
132ca49147955
1415cad36037a
15aa7e6d69e5
hex5fcabc25f8

411423221240 has 128 divisors (see below), whose sum is σ = 971731494720. Its totient is φ = 156621312000.

The previous prime is 411423221219. The next prime is 411423221291. The reversal of 411423221240 is 42122324114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12390260 + ... + 12423420.

Almost surely, 2411423221240 is an apocalyptic number.

411423221240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411423221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485865747360).

411423221240 is an abundant number, since it is smaller than the sum of its proper divisors (560308273480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411423221240 is a wasteful number, since it uses less digits than its factorization.

411423221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33393 (or 33389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 411423221240 its reverse (42122324114), we get a palindrome (453545545354).

The spelling of 411423221240 in words is "four hundred eleven billion, four hundred twenty-three million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 83 101 148 166 185 202 296 332 370 404 415 505 664 740 808 830 1010 1480 1660 2020 3071 3320 3737 4040 6142 7474 8383 12284 14948 15355 16766 18685 24568 29896 30710 33161 33532 37370 41915 61420 66322 67064 74740 83830 122840 132644 149480 165805 167660 265288 310171 331610 335320 620342 663220 1226957 1240684 1326440 1550855 2453914 2481368 2752363 3101710 3349261 4907828 5504726 6134785 6203420 6698522 9815656 11009452 12269570 12406840 13397044 13761815 16746305 22018904 24539140 26794088 27523630 33492610 49078280 55047260 66985220 101837431 110094520 123922657 133970440 203674862 247845314 277988663 407349724 495690628 509187155 555977326 619613285 814699448 991381256 1018374310 1111954652 1239226570 1389943315 2036748620 2223909304 2478453140 2779886630 4073497240 4956906280 5559773260 10285580531 11119546520 20571161062 41142322124 51427902655 82284644248 102855805310 205711610620 411423221240