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12014491440 = 2435731230693
BaseRepresentation
bin10110011000001111…
…01001011100110000
31011000022101101212110
423030013221130300
5144101202211230
65304104125320
7603505330560
oct131407513460
934008341773
1012014491440
11510595a276
1223b3766840
131196169843
1481d910da0
154a4b844b0
hex2cc1e9730

12014491440 has 160 divisors (see below), whose sum is σ = 43938902016. Its totient is φ = 2657571840.

The previous prime is 12014491417. The next prime is 12014491477. The reversal of 12014491440 is 4419441021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12014491398 and 12014491407.

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, 63267 + ... + 167426.

Almost surely, 212014491440 is an apocalyptic number.

12014491440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014491440 is an abundant number, since it is smaller than the sum of its proper divisors (31924410576).

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

12014491440 is a wasteful number, since it uses less digits than its factorization.

12014491440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230747 (or 230741 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12014491440 in words is "twelve billion, fourteen million, four hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 230693 461386 692079 922772 1153465 1384158 1614851 1845544 2306930 2768316 3229702 3460395 3691088 4613860 4844553 5536632 6459404 6920790 7151483 8074255 9227720 9689106 11073264 12918808 13841580 14302966 16148510 18455440 19378212 21454449 24222765 25837616 27683160 28605932 32297020 35757415 38756424 42908898 48445530 50060381 55366320 57211864 64594040 71514830 77512848 85817796 96891060 100120762 107272245 114423728 129188080 143029660 150181143 171635592 193782120 200241524 214544490 250301905 286059320 300362286 343271184 387564240 400483048 429088980 500603810 572118640 600724572 750905715 800966096 858177960 1001207620 1201449144 1501811430 1716355920 2002415240 2402898288 3003622860 4004830480 6007245720 12014491440