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141865986096 = 243223257166669
BaseRepresentation
bin1000010000011111011…
…1110010100000110000
3111120011212212210110100
42010013313302200300
54311020143023341
6145101120232400
713151366662002
oct2040767624060
9446155783410
10141865986096
115518a71810a
12235b276b700
13104bb346893
146c1b3a0372
153a549613b6
hex2107df2830

141865986096 has 120 divisors (see below), whose sum is σ = 415904317920. Its totient is φ = 45056360448.

The previous prime is 141865986079. The next prime is 141865986103. The reversal of 141865986096 is 690689568141.

141865986096 is a `hidden beast` number, since 1 + 4 + 18 + 6 + 5 + 9 + 8 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767850 + ... + 934518.

It is an arithmetic number, because the mean of its divisors is an integer number (3465869316).

Almost surely, 2141865986096 is an apocalyptic number.

141865986096 is a gapful number since it is divisible by the number (16) 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 141865986096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207952158960).

141865986096 is an abundant number, since it is smaller than the sum of its proper divisors (274038331824).

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

141865986096 is a wasteful number, since it uses less digits than its factorization.

141865986096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166963 (or 166954 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 141865986096 in words is "one hundred forty-one billion, eight hundred sixty-five million, nine hundred eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 257 276 368 414 514 552 771 828 1028 1104 1542 1656 2056 2313 3084 3312 4112 4626 5911 6168 9252 11822 12336 17733 18504 23644 35466 37008 47288 53199 70932 94576 106398 141864 166669 212796 283728 333338 425592 500007 666676 851184 1000014 1333352 1500021 2000028 2666704 3000042 3833387 4000056 6000084 7666774 8000112 11500161 12000168 15333548 23000322 24000336 30667096 34500483 42833933 46000644 61334192 69000966 85667866 92001288 128501799 138001932 171335732 184002576 257003598 276003864 342671464 385505397 514007196 552007728 685342928 771010794 985180459 1028014392 1542021588 1970360918 2056028784 2955541377 3084043176 3940721836 5911082754 6168086352 7881443672 8866624131 11822165508 15762887344 17733248262 23644331016 35466496524 47288662032 70932993048 141865986096