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1401111506046 = 237731516134937
BaseRepresentation
bin10100011000111000110…
…000001110110001111110
311221221111212111011010110
4110120320300032301332
5140423434021143141
62551354534050450
7203140564204320
oct24307060166176
94857455434113
101401111506046
114a0231a1122a
121a76654a9a26
13a217cc85a65
144bb580a1610
15266a5a19e16
hex14638c0ec7e

1401111506046 has 128 divisors (see below), whose sum is σ = 3273904429056. Its totient is φ = 391499827200.

The previous prime is 1401111506023. The next prime is 1401111506071. The reversal of 1401111506046 is 6406051111041.

It is a super-2 number, since 2×14011115060462 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283795690 + ... + 283800626.

It is an arithmetic number, because the mean of its divisors is an integer number (25577378352).

Almost surely, 21401111506046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401111506046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636952214528).

1401111506046 is an abundant number, since it is smaller than the sum of its proper divisors (1872792923010).

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

1401111506046 is a wasteful number, since it uses less digits than its factorization.

1401111506046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786.

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 1401111506046 its reverse (6406051111041), we get a palindrome (7807162617087).

The spelling of 1401111506046 in words is "one trillion, four hundred one billion, one hundred eleven million, five hundred six thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 151 219 302 438 453 511 613 906 1022 1057 1226 1533 1839 2114 3066 3171 3678 4291 4937 6342 8582 9874 11023 12873 14811 22046 25746 29622 33069 34559 44749 66138 69118 77161 89498 92563 103677 134247 154322 185126 207354 231483 268494 277689 313243 360401 462966 555378 626486 647941 720802 745487 939729 1081203 1295882 1490974 1879458 1943823 2162406 2236461 2522807 3026381 3887646 4472922 5045614 5218409 6052762 6757099 7568421 9079143 10436818 13514198 15136842 15655227 18158286 20271297 21184667 31310454 40542594 42369334 47299693 54420551 63554001 94599386 108841102 127108002 141899079 163261653 220925813 283798158 326523306 380943857 441851626 456983531 662777439 761887714 913967062 1142831571 1325554878 1370950593 1546480691 2285663142 2741901186 3092961382 3198884717 4639442073 6397769434 9278884146 9596654151 19193308302 33359797763 66719595526 100079393289 200158786578 233518584341 467037168682 700555753023 1401111506046