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140999441156064 = 25324189134168647
BaseRepresentation
bin100000000011110011111101…
…100110101000011111100000
3200111020102012111002202022200
4200003303331212220133200
5121440113323413443224
61215514125443333200
741461605410660361
oct4003637546503740
9614212174082280
10140999441156064
1140a21588759447
1213992777681200
13608a261c9044a
1426b65a3421b68
151147abbb645c9
hex803cfd9a87e0

140999441156064 has 144 divisors (see below), whose sum is σ = 415361983851360. Its totient is φ = 45338268856320.

The previous prime is 140999441156059. The next prime is 140999441156083. The reversal of 140999441156064 is 460651144999041.

140999441156064 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 9 + 9 + 4 + 4 + 1 + 1 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 140999441155992 and 140999441156010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66033412 + ... + 68135235.

It is an arithmetic number, because the mean of its divisors is an integer number (2884458221190).

Almost surely, 2140999441156064 is an apocalyptic number.

It is an amenable number.

140999441156064 is an abundant number, since it is smaller than the sum of its proper divisors (274362542695296).

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

140999441156064 is a wasteful number, since it uses less digits than its factorization.

140999441156064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134168793 (or 134168782 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 140999441156064 in words is "one hundred forty trillion, nine hundred ninety-nine billion, four hundred forty-one million, one hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 89 96 123 144 164 178 246 267 288 328 356 369 492 534 656 712 738 801 984 1068 1312 1424 1476 1602 1968 2136 2848 2952 3204 3649 3936 4272 5904 6408 7298 8544 10947 11808 12816 14596 21894 25632 29192 32841 43788 58384 65682 87576 116768 131364 175152 262728 350304 525456 1050912 134168647 268337294 402505941 536674588 805011882 1073349176 1207517823 1610023764 2146698352 2415035646 3220047528 4293396704 4830071292 5500914527 6440095056 9660142584 11001829054 11941009583 12880190112 16502743581 19320285168 22003658108 23882019166 33005487162 35823028749 38640570336 44007316216 47764038332 49508230743 66010974324 71646057498 88014632432 95528076664 99016461486 107469086247 132021948648 143292114996 176029264864 191056153328 198032922972 214938172494 264043897296 286584229992 382112306656 396065845944 429876344988 489581392903 528087794592 573168459984 792131691888 859752689976 979162785806 1146336919968 1468744178709 1584263383776 1719505379952 1958325571612 2937488357418 3439010759904 3916651143224 4406232536127 5874976714836 7833302286448 8812465072254 11749953429672 15666604572896 17624930144508 23499906859344 35249860289016 46999813718688 70499720578032 140999441156064