Search a number
-
+
141533903416032 = 2533217117754489
BaseRepresentation
bin100000001011100101101110…
…000010010110101011100000
3200120010111202002010122212000
4200023211232002112223200
5122022342413233303112
61221003435544404000
741545326032143131
oct4013455602265340
9616114662118760
10141533903416032
1141108211773926
1213a5a275a76600
1360c8788ac4b0a
1426d43c5573c88
15115694d0077dc
hex80b96e096ae0

141533903416032 has 96 divisors (see below), whose sum is σ = 412809666746400. Its totient is φ = 47177687983104.

The previous prime is 141533903415977. The next prime is 141533903416067. The reversal of 141533903416032 is 230614309335141.

141533903416032 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 3 + 3 + 9 + 0 + 34 + 1 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 187211844 + ... + 187966332.

It is an arithmetic number, because the mean of its divisors is an integer number (4300100695275).

Almost surely, 2141533903416032 is an apocalyptic number.

141533903416032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141533903416032 is an abundant number, since it is smaller than the sum of its proper divisors (271275763330368).

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

141533903416032 is a wasteful number, since it uses less digits than its factorization.

141533903416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971625 (or 971611 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 141533903416032 in words is "one hundred forty-one trillion, five hundred thirty-three billion, nine hundred three million, four hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 217117 434234 651351 754489 868468 1302702 1508978 1736936 1954053 2263467 2605404 3017956 3473872 3908106 4526934 5210808 5862159 6035912 6790401 6947744 7816212 9053868 10421616 11724318 12071824 13580802 15632424 18107736 20371203 20843232 23448636 24143648 27161604 31264848 36215472 40742406 46897272 54323208 62529696 72430944 81484812 93794544 108646416 162969624 187589088 217292832 325939248 651878496 163812388213 327624776426 491437164639 655249552852 982874329278 1310499105704 1474311493917 1965748658556 2620998211408 2948622987834 3931497317112 4422934481751 5241996422816 5897245975668 7862994634224 8845868963502 11794491951336 15725989268448 17691737927004 23588983902672 35383475854008 47177967805344 70766951708016 141533903416032