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140033140400412 = 2232722318131137437
BaseRepresentation
bin11111110101110000000001…
…100101110010000100011100
3200100211001000022202022110200
4133311300001211302010130
5121323300332420303122
61213454200412503500
741332026522036210
oct3765600145620434
9610731008668420
10140033140400412
11406897a3110616
121385743b47ab90
13601a0b75a769c
1426818d6848940
15112c8b3b8e5ac
hex7f5c0197211c

140033140400412 has 144 divisors (see below), whose sum is σ = 406379633866752. Its totient is φ = 39827567445120.

The previous prime is 140033140400341. The next prime is 140033140400467. The reversal of 140033140400412 is 214004041330041.

140033140400412 is a `hidden beast` number, since 1 + 40 + 0 + 33 + 140 + 40 + 0 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018820958 + ... + 1018958394.

Almost surely, 2140033140400412 is an apocalyptic number.

140033140400412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140033140400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203189816933376).

140033140400412 is an abundant number, since it is smaller than the sum of its proper divisors (266346493466340).

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

140033140400412 is a wasteful number, since it uses less digits than its factorization.

140033140400412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155808 (or 155803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140033140400412 its reverse (214004041330041), we get a palindrome (354037181730453).

The spelling of 140033140400412 in words is "one hundred forty trillion, thirty-three billion, one hundred forty million, four hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 669 892 1338 1561 2007 2676 3122 4014 4683 6244 8028 9366 14049 18131 18732 28098 36262 54393 56196 72524 108786 126917 137437 163179 217572 253834 274874 326358 380751 412311 507668 549748 652716 761502 824622 962059 1142253 1236933 1523004 1649244 1924118 2284506 2473866 2886177 3848236 4043213 4569012 4947732 5772354 8086426 8658531 11544708 12129639 16172852 17317062 24259278 28302491 30648451 34634124 36388917 48518556 56604982 61296902 72777834 84907473 91945353 113209964 122593804 145555668 169814946 183890706 214539157 254722419 275836059 339629892 367781412 429078314 509444838 551672118 643617471 858156628 1018889676 1103344236 1287234942 1930852413 2491870247 2574469884 3861704826 4983740494 7475610741 7723409652 9967480988 14951221482 17443091729 22426832223 29902442964 34886183458 44853664446 52329275187 69772366916 89707328892 104658550374 156987825561 209317100748 313975651122 555687065081 627951302244 1111374130162 1667061195243 2222748260324 3334122390486 3889809455567 5001183585729 6668244780972 7779618911134 10002367171458 11669428366701 15559237822268 20004734342916 23338856733402 35008285100103 46677713466804 70016570200206 140033140400412