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32144412133000 = 235386337247291
BaseRepresentation
bin1110100111100001101000…
…10001000100011010001000
311012210222100100110001211201
413103300310101010122020
513203123224001224000
6152210534501233544
76525233332644136
oct723606421043210
9135728310401751
1032144412133000
11a273406711892
1237319767028b4
1314c2288685c9b
147d1b25420756
153ab23b00b96a
hex1d3c34444688

32144412133000 has 64 divisors (see below), whose sum is σ = 75305085073920. Its totient is φ = 12842865592000.

The previous prime is 32144412132997. The next prime is 32144412133007. The reversal of 32144412133000 is 33121444123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32144412133000.

It is not an unprimeable number, because it can be changed into a prime (32144412133007) 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, 17760646 + ... + 19486645.

It is an arithmetic number, because the mean of its divisors is an integer number (1176641954280).

Almost surely, 232144412133000 is an apocalyptic number.

It is an amenable number.

32144412133000 is an abundant number, since it is smaller than the sum of its proper divisors (43160672940920).

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

32144412133000 is a wasteful number, since it uses less digits than its factorization.

32144412133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37248175 (or 37248161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 32144412133000 its reverse (33121444123), we get a palindrome (32177533577123).

The spelling of 32144412133000 in words is "thirty-two trillion, one hundred forty-four billion, four hundred twelve million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 863 1000 1726 3452 4315 6904 8630 17260 21575 34520 43150 86300 107875 172600 215750 431500 863000 37247291 74494582 148989164 186236455 297978328 372472910 744945820 931182275 1489891640 1862364550 3724729100 4655911375 7449458200 9311822750 18623645500 32144412133 37247291000 64288824266 128577648532 160722060665 257155297064 321444121330 642888242660 803610303325 1285776485320 1607220606650 3214441213300 4018051516625 6428882426600 8036103033250 16072206066500 32144412133000