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140012001133440 = 2735471551551431
BaseRepresentation
bin11111110101011100010101…
…100101111000001110000000
3200100202000110002111021201220
4133311130111211320032000
5121322424034242232230
61213440343024555040
741330350624163232
oct3765342545701600
9610660402437656
10140012001133440
1140680835597447
121385331ba82a80
1360180c8b810a7
14268088d122252
15112c077dd2d10
hex7f5715978380

140012001133440 has 128 divisors (see below), whose sum is σ = 455783748664320. Its totient is φ = 36542139279360.

The previous prime is 140012001133399. The next prime is 140012001133451. The reversal of 140012001133440 is 44331100210041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1400120011334402 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140012001133440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775685476 + ... + 775865955.

It is an arithmetic number, because the mean of its divisors is an integer number (3560810536440).

Almost surely, 2140012001133440 is an apocalyptic number.

140012001133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012001133440 is an abundant number, since it is smaller than the sum of its proper divisors (315771747530880).

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

140012001133440 is a wasteful number, since it uses less digits than its factorization.

140012001133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551551500 (or 1551551488 counting only the distinct ones).

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

Adding to 140012001133440 its reverse (44331100210041), we get a palindrome (184343101343481).

The spelling of 140012001133440 in words is "one hundred forty trillion, twelve billion, one million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 9024 11280 15040 18048 22560 30080 45120 90240 1551551431 3103102862 4654654293 6206205724 7757757155 9309308586 12412411448 15515514310 18618617172 23273271465 24824822896 31031028620 37237234344 46546542930 49649645792 62062057240 72922917257 74474468688 93093085860 99299291584 124124114480 145845834514 148948937376 186186171720 198598583168 218768751771 248248228960 291691669028 297897874752 364614586285 372372343440 437537503542 496496457920 583383338056 595795749504 729229172570 744744686880 875075007084 992992915840 1093843758855 1166766676112 1458458345140 1489489373760 1750150014168 2187687517710 2333533352224 2916916690280 2978978747520 3500300028336 4375375035420 4667066704448 5833833380560 7000600056672 8750750070840 9334133408896 11667666761120 14001200113344 17501500141680 23335333522240 28002400226688 35003000283360 46670667044480 70006000566720 140012001133440