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32112242120440 = 23513126982927481
BaseRepresentation
bin1110100110100101101101…
…10010001101011011111000
311012200220022100220002212001
413103102312302031123320
513202111332440323230
6152144054350230344
76523014203233066
oct723226662153370
9135626270802761
1032112242120440
11a2607a8570249
123727698ab53b4
1314bc22c85b8b1
147d0352b03036
153aa4a6b3b0ca
hex1d34b6c8d6f8

32112242120440 has 128 divisors (see below), whose sum is σ = 73165548456000. Its totient is φ = 12683677593600.

The previous prime is 32112242120393. The next prime is 32112242120471. The reversal of 32112242120440 is 4402124221123.

It is a junction number, because it is equal to n+sod(n) for n = 32112242120399 and 32112242120408.

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, 1168511500 + ... + 1168538980.

Almost surely, 232112242120440 is an apocalyptic number.

It is an amenable number.

32112242120440 is an abundant number, since it is smaller than the sum of its proper divisors (41053306335560).

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

32112242120440 is a wasteful number, since it uses less digits than its factorization.

32112242120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28717 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 32112242120440 its reverse (4402124221123), we get a palindrome (36514366341563).

The spelling of 32112242120440 in words is "thirty-two trillion, one hundred twelve billion, two hundred forty-two million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 269 524 538 655 829 1048 1076 1310 1345 1658 2152 2620 2690 3316 4145 5240 5380 6632 8290 10760 16580 27481 33160 35239 54962 70478 108599 109924 137405 140956 176195 217198 219848 223001 274810 281912 352390 434396 446002 542995 549620 704780 868792 892004 1085990 1099240 1115005 1409560 1784008 2171980 2230010 3600011 4343960 4460020 7200022 7392389 8920040 14400044 14784778 18000055 22781749 28800088 29213131 29569556 36000110 36961945 45563498 58426262 59139112 72000220 73923890 91126996 113908745 116852524 144000440 146065655 147847780 182253992 227817490 233705048 292131310 295695560 455634980 584262620 911269960 968402959 1168525240 1936805918 2984409119 3873611836 4842014795 5968818238 6128290481 7747223672 9684029590 11937636476 12256580962 14922045595 19368059180 23875272952 24513161924 29844091190 30641452405 38736118360 49026323848 59688182380 61282904810 119376364760 122565809620 245131619240 802806053011 1605612106022 3211224212044 4014030265055 6422448424088 8028060530110 16056121060220 32112242120440