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32134441343440 = 2451932662778163
BaseRepresentation
bin1110100111001111000011…
…11101100001100111010000
311012210000121110122110220111
413103213201331201213100
513202442313440442230
6152202205240451104
76524431261431622
oct723474175414720
9135700543573814
1032134441343440
11a26a15a439037
12372ba53479a94
1314c1359a552c7
147d145b102c12
153aad559bd92a
hex1d39e1f619d0

32134441343440 has 80 divisors (see below), whose sum is σ = 75103469195328. Its totient is φ = 12786532835328.

The previous prime is 32134441343423. The next prime is 32134441343447. The reversal of 32134441343440 is 4434314443123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32134441343393 and 32134441343402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32134441343447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411081799 + ... + 411159961.

Almost surely, 232134441343440 is an apocalyptic number.

It is an amenable number.

32134441343440 is an abundant number, since it is smaller than the sum of its proper divisors (42969027851888).

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

32134441343440 is a wasteful number, since it uses less digits than its factorization.

32134441343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104996 (or 104990 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 32134441343440 its reverse (4434314443123), we get a palindrome (36568755786563).

The spelling of 32134441343440 in words is "thirty-two trillion, one hundred thirty-four billion, four hundred forty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 26627 53254 78163 106508 133135 156326 213016 266270 312652 390815 426032 532540 625304 781630 1065080 1250608 1563260 2130160 3126520 5139011 6253040 10278022 15085459 20556044 25695055 30170918 41112088 51390110 60341836 75427295 82224176 102780220 120683672 150854590 205560440 241367344 301709180 411120880 603418360 1206836720 2081246201 4162492402 8324984804 10406231005 16649969608 20812462010 33299939216 41624924020 83249848040 166499696080 401680516793 803361033586 1606722067172 2008402583965 3213444134344 4016805167930 6426888268688 8033610335860 16067220671720 32134441343440