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214576742040 = 23351919361987
BaseRepresentation
bin1100011111010111000…
…1010011111010011000
3202111212012222220102020
43013311301103322120
512003423121221130
6242324124134440
721334261133133
oct3076561237230
9674765886366
10214576742040
1183001a82251
1235705397420
131730827261b
14a55800921a
1558ad02de10
hex31f5c53e98

214576742040 has 64 divisors (see below), whose sum is σ = 647100610560. Its totient is φ = 56920874880.

The previous prime is 214576742027. The next prime is 214576742119. The reversal of 214576742040 is 40247675412.

It is a junction number, because it is equal to n+sod(n) for n = 214576741983 and 214576742001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4658074 + ... + 4703913.

It is an arithmetic number, because the mean of its divisors is an integer number (10110947040).

Almost surely, 2214576742040 is an apocalyptic number.

214576742040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214576742040 is an abundant number, since it is smaller than the sum of its proper divisors (432523868520).

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

214576742040 is a wasteful number, since it uses less digits than its factorization.

214576742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362192 (or 9362188 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 214576742040 in words is "two hundred fourteen billion, five hundred seventy-six million, seven hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 9361987 18723974 28085961 37447948 46809935 56171922 74895896 93619870 112343844 140429805 187239740 224687688 280859610 374479480 561719220 1123438440 1788139517 3576279034 5364418551 7152558068 8940697585 10728837102 14305116136 17881395170 21457674204 26822092755 35762790340 42915348408 53644185510 71525580680 107288371020 214576742040