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12151105436240 = 2452714363128461
BaseRepresentation
bin1011000011010010011001…
…0100101011101001010000
31121000122010102121121002222
42300310212110223221100
53043040430442424430
641502050224000212
72362613502020651
oct260644624535120
947018112547088
1012151105436240
113965289270621
121442b70760068
136a1ac8ca4214
1430018c0c5528
15161128aab9e5
hexb0d2652ba50

12151105436240 has 80 divisors (see below), whose sum is σ = 28362288435456. Its totient is φ = 4841359372800.

The previous prime is 12151105436189. The next prime is 12151105436269. The reversal of 12151105436240 is 4263450115121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12151105436240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94525610 + ... + 94654070.

Almost surely, 212151105436240 is an apocalyptic number.

12151105436240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12151105436240 is an abundant number, since it is smaller than the sum of its proper divisors (16211182999216).

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

12151105436240 is a wasteful number, since it uses less digits than its factorization.

12151105436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133108 (or 133102 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 12151105436240 in words is "twelve trillion, one hundred fifty-one billion, one hundred five million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 1084 1355 2168 2710 4336 4363 5420 8726 10840 17452 21680 21815 34904 43630 69808 87260 128461 174520 256922 349040 513844 642305 1027688 1182373 1284610 2055376 2364746 2569220 4729492 5138440 5911865 9458984 10276880 11823730 18917968 23647460 34812931 47294920 69625862 94589840 139251724 174064655 278503448 348129310 557006896 560475343 696258620 1120950686 1392517240 2241901372 2785034480 2802376715 4483802744 5604753430 8967605488 11209506860 22419013720 44838027440 151888817953 303777635906 607555271812 759444089765 1215110543624 1518888179530 2430221087248 3037776359060 6075552718120 12151105436240