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12940881282 = 2327234742283
BaseRepresentation
bin11000000110101011…
…00010110110000010
31020101212112212211100
430003111202312002
5203000331200112
65540035555230
7635454450600
oct140325426602
936355485740
1012940881282
11554087670a
122611a5bb16
1312b3072c04
148aa97a870
1550b1752dc
hex303562d82

12940881282 has 72 divisors (see below), whose sum is σ = 32711071536. Its totient is φ = 3686652144.

The previous prime is 12940881271. The next prime is 12940881293. The reversal of 12940881282 is 28218804921.

12940881282 is a `hidden beast` number, since 1 + 294 + 0 + 8 + 81 + 282 = 666.

It is an interprime number because it is at equal distance from previous prime (12940881271) and next prime (12940881293).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284913 + ... + 327195.

It is an arithmetic number, because the mean of its divisors is an integer number (454320438).

Almost surely, 212940881282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12940881282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355535768).

12940881282 is an abundant number, since it is smaller than the sum of its proper divisors (19770190254).

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

12940881282 is a wasteful number, since it uses less digits than its factorization.

12940881282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42652 (or 42642 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12940881282 in words is "twelve billion, nine hundred forty million, eight hundred eighty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 347 441 694 882 1041 2082 2429 3123 4858 6246 7287 14574 17003 21861 34006 42283 43722 51009 84566 102018 126849 153027 253698 295981 306054 380547 591962 761094 887943 1775886 2071867 2663829 4143734 5327658 6215601 12431202 14672201 18646803 29344402 37293606 44016603 88033206 102705407 132049809 205410814 264099618 308116221 616232442 718937849 924348663 1437875698 1848697326 2156813547 4313627094 6470440641 12940881282