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32120322011344 = 2472952289189127
BaseRepresentation
bin1110100110110100110000…
…11000100011000011010000
311012201200011110122002110201
413103122120120203003100
513202224404413330334
6152151512222304544
76523421344203250
oct723323030430320
9135650143562421
1032120322011344
11a264174444936
123729172a28154
1314bcc197c4528
147d08bbc45960
153aa7cb167c14
hex1d36986230d0

32120322011344 has 80 divisors (see below), whose sum is σ = 73577903212800. Its totient is φ = 13290843267072.

The previous prime is 32120322011317. The next prime is 32120322011357. The reversal of 32120322011344 is 44311022302123.

It is a super-2 number, since 2×321203220113442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169740109 + ... + 169929235.

It is an arithmetic number, because the mean of its divisors is an integer number (919723790160).

Almost surely, 232120322011344 is an apocalyptic number.

It is an amenable number.

32120322011344 is an abundant number, since it is smaller than the sum of its proper divisors (41457581201456).

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

32120322011344 is a wasteful number, since it uses less digits than its factorization.

32120322011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241460 (or 241454 counting only the distinct ones).

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

Adding to 32120322011344 its reverse (44311022302123), we get a palindrome (76431344313467).

The spelling of 32120322011344 in words is "thirty-two trillion, one hundred twenty billion, three hundred twenty-two million, eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 52289 104578 189127 209156 366023 378254 418312 732046 756508 836624 1323889 1464092 1513016 1516381 2647778 2928184 3026032 3032762 5295556 5484683 5856368 6065524 10591112 10614667 10969366 12131048 21182224 21229334 21938732 24262096 38392781 42458668 43877464 76785562 84917336 87754928 153571124 169834672 307142248 614284496 9889261703 19778523406 39557046812 69224831921 79114093624 138449663842 158228187248 276899327684 286788589387 553798655368 573577178774 1107597310736 1147154357548 2007520125709 2294308715096 4015040251418 4588617430192 8030080502836 16060161005672 32120322011344