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32040034112112 = 243131923471151441
BaseRepresentation
bin1110100100011111001101…
…10110100001001001110000
311012102222221001210012222020
413102033212312201021300
513144420442213041422
6152050553302111440
76514546625261265
oct722174666411160
9135388831705866
1032040034112112
11a233113a79904
1237156a671b580
1314b5492b3a750
147caa62b6726c
153a867c77a95c
hex1d23e6da1270

32040034112112 has 160 divisors (see below), whose sum is σ = 93868499531520. Its totient is φ = 9335617597440.

The previous prime is 32040034112077. The next prime is 32040034112171. The reversal of 32040034112112 is 21121143004023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27250312 + ... + 28401752.

It is an arithmetic number, because the mean of its divisors is an integer number (586678122072).

Almost surely, 232040034112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32040034112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46934249765760).

32040034112112 is an abundant number, since it is smaller than the sum of its proper divisors (61828465419408).

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

32040034112112 is a wasteful number, since it uses less digits than its factorization.

32040034112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153831 (or 1153825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 32040034112112 its reverse (21121143004023), we get a palindrome (53161177116135).

The spelling of 32040034112112 in words is "thirty-two trillion, forty billion, thirty-four million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2347 2964 3952 4694 5928 7041 9388 11856 14082 18776 28164 30511 37552 44593 56328 61022 89186 91533 112656 122044 133779 178372 183066 244088 267558 356744 366132 488176 535116 579709 713488 732264 1070232 1151441 1159418 1464528 1739127 2140464 2302882 2318836 3454323 3478254 4605764 4637672 6908646 6956508 9211528 9275344 13817292 13913016 14968733 18423056 21877379 27634584 27826032 29937466 43754758 44906199 55269168 59874932 65632137 87509516 89812398 119749864 131264274 175019032 179624796 239499728 262528548 284405927 350038064 359249592 525057096 568811854 718499184 853217781 1050114192 1137623708 1706435562 2275247416 2702432027 3412871124 4550494832 5404864054 6825742248 8107296081 10809728108 13651484496 16214592162 21619456216 32429184324 35131616351 43238912432 51346208513 64858368648 70263232702 102692417026 105394849053 129716737296 140526465404 154038625539 205384834052 210789698106 281052930808 308077251078 410769668104 421579396212 562105861616 616154502156 667500710669 821539336208 843158792424 1232309004312 1335001421338 1686317584848 2002502132007 2464618008624 2670002842676 4005004264014 5340005685352 8010008528028 10680011370704 16020017056056 32040034112112