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141381920492928 = 2733337121392049
BaseRepresentation
bin100000001001011000001011…
…001001100000110110000000
3200112120222110010110012212000
4200021120023021200312000
5122012400133121233203
61220405542503104000
741531335534463013
oct4011301311406600
9615528403405760
10141381920492928
1141059810332255
1213a3491b142000
1360b734779a09b
1426cacc86d137a
151152a052da4a3
hex80960b260d80

141381920492928 has 128 divisors (see below), whose sum is σ = 418511231580000. Its totient is φ = 46987462803456.

The previous prime is 141381920492909. The next prime is 141381920492947. The reversal of 141381920492928 is 829294029183141.

141381920492928 is a `hidden beast` number, since 1 + 4 + 1 + 38 + 1 + 9 + 20 + 492 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (141381920492909) and next prime (141381920492947).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1413819204929282 (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 59531353 + ... + 61860696.

Almost surely, 2141381920492928 is an apocalyptic number.

141381920492928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141381920492928 is an abundant number, since it is smaller than the sum of its proper divisors (277129311087072).

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

141381920492928 is a wasteful number, since it uses less digits than its factorization.

141381920492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121392409 (or 121392391 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 141381920492928 in words is "one hundred forty-one trillion, three hundred eighty-one billion, nine hundred twenty million, four hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 337 384 432 576 674 864 1011 1152 1348 1728 2022 2696 3033 3456 4044 5392 6066 8088 9099 10784 12132 16176 18198 21568 24264 32352 36396 43136 48528 64704 72792 97056 129408 145584 194112 291168 388224 582336 1164672 121392049 242784098 364176147 485568196 728352294 971136392 1092528441 1456704588 1942272784 2185056882 2913409176 3277585323 3884545568 4370113764 5826818352 6555170646 7769091136 8740227528 11653636704 13110341292 15538182272 17480455056 23307273408 26220682584 34960910112 40909120513 46614546816 52441365168 69921820224 81818241026 104882730336 122727361539 139843640448 163636482052 209765460672 245454723078 327272964104 368182084617 419530921344 490909446156 654545928208 736364169234 981818892312 1104546253851 1309091856416 1472728338468 1963637784624 2209092507702 2618183712832 2945456676936 3927275569248 4418185015404 5236367425664 5890913353872 7854551138496 8836370030808 11781826707744 15709102276992 17672740061616 23563653415488 35345480123232 47127306830976 70690960246464 141381920492928