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132141133020432 = 24329119379571647
BaseRepresentation
bin11110000010111010000001…
…010010110011110100010000
3122022212120100202112102022210
4132002322001102303310100
5114310000020023123212
61145012444245232120
736555611314120434
oct3602720122636420
9568776322472283
10132141133020432
1139116815750178
12129a1a06102640
135896b17350c23
14248b9449329c4
1510424629a253c
hex782e814b3d10

132141133020432 has 80 divisors (see below), whose sum is σ = 353431797488640. Its totient is φ = 42492532110336.

The previous prime is 132141133020409. The next prime is 132141133020451. The reversal of 132141133020432 is 234020331141231.

It is a super-2 number, since 2×1321411330204322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141133020432.

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, 38125168 + ... + 41446479.

It is an arithmetic number, because the mean of its divisors is an integer number (4417897468608).

Almost surely, 2132141133020432 is an apocalyptic number.

132141133020432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132141133020432 is an abundant number, since it is smaller than the sum of its proper divisors (221290664468208).

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

132141133020432 is a wasteful number, since it uses less digits than its factorization.

132141133020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79572880 (or 79572874 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132141133020432 its reverse (234020331141231), we get a palindrome (366161464161663).

The spelling of 132141133020432 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred thirty-three million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1193 1392 2386 3579 4772 7158 9544 14316 19088 28632 34597 57264 69194 103791 138388 207582 276776 415164 553552 830328 1660656 79571647 159143294 238714941 318286588 477429882 636573176 954859764 1273146352 1909719528 2307577763 3819439056 4615155526 6922733289 9230311052 13845466578 18460622104 27690933156 36921244208 55381866312 94928974871 110763732624 189857949742 284786924613 379715899484 569573849226 759431798968 1139147698452 1518863597936 2278295396904 2752940271259 4556590793808 5505880542518 8258820813777 11011761085036 16517641627554 22023522170072 33035283255108 44047044340144 66070566510216 132141133020432