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31961440368024 = 23323715771413361
BaseRepresentation
bin1110100010001100110100…
…10011001011010110011000
311012011111001201210100102120
413101012122103023112120
513142124012213234044
6151550514421301240
76506065200416166
oct721063223132630
9135144051710376
1031961440368024
11a2028529446a2
123702411864820
1314aac49164a2b
147c6d28a8c236
153a65cc98a519
hex1d119a4cb598

31961440368024 has 128 divisors (see below), whose sum is σ = 84698601108480. Its totient is φ = 10029654835200.

The previous prime is 31961440367999. The next prime is 31961440368043. The reversal of 31961440368024 is 42086304416913.

It is a Cunningham number, because it is equal to 56534452-1.

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, 21907104 + ... + 23320464.

It is an arithmetic number, because the mean of its divisors is an integer number (661707821160).

Almost surely, 231961440368024 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 31961440368024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42349300554240).

31961440368024 is an abundant number, since it is smaller than the sum of its proper divisors (52737160740456).

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

31961440368024 is a wasteful number, since it uses less digits than its factorization.

31961440368024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414041 (or 1414037 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 31961440368024 in words is "thirty-one trillion, nine hundred sixty-one billion, four hundred forty million, three hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 577 852 1154 1633 1704 1731 2308 3266 3462 4616 4899 6532 6924 9798 13064 13271 13848 19596 26542 39192 39813 40967 53084 79626 81934 106168 122901 159252 163868 245802 318504 327736 491604 942241 983208 1413361 1884482 2826722 2826723 3768964 4240083 5653444 5653446 7537928 8480166 11306888 11306892 16960332 22613784 32507303 33920664 65014606 97521909 100348631 130029212 195043818 200697262 260058424 301045893 390087636 401394524 602091786 780175272 802789048 815509297 1204183572 1631018594 2308018513 2408367144 2446527891 3262037188 4616037026 4893055782 6524074376 6924055539 9232074052 9786111564 13848111078 18464148104 18756713831 19572223128 27696222156 37513427662 55392444312 56270141493 57901160087 75026855324 112540282986 115802320174 150053710648 173703480261 225080565972 231604640348 347406960522 450161131944 463209280696 694813921044 1331726682001 1389627842088 2663453364002 3995180046003 5326906728004 7990360092006 10653813456008 15980720184012 31961440368024