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12401433004240 = 245759873698917
BaseRepresentation
bin1011010001110110111100…
…0000100100100011010000
31121220120021012002122001101
42310131233000210203100
53111141113322113430
642213050100314144
72416655033156320
oct264355700444320
947816235078041
1012401433004240
113a51466698525
1214835929a2954
136bc5b0b93c17
1430c338205280
151678ca52cdca
hexb476f0248d0

12401433004240 has 80 divisors (see below), whose sum is σ = 32957892024192. Its totient is φ = 4251208545792.

The previous prime is 12401433004193. The next prime is 12401433004243. The reversal of 12401433004240 is 4240033410421.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12401433004199 and 12401433004208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401433004243) by changing a digit.

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, 1503262 + ... + 5202178.

Almost surely, 212401433004240 is an apocalyptic number.

12401433004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12401433004240 is an abundant number, since it is smaller than the sum of its proper divisors (20556459019952).

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

12401433004240 is a wasteful number, since it uses less digits than its factorization.

12401433004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704924 (or 3704918 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12401433004240 its reverse (4240033410421), we get a palindrome (16641466414661).

The spelling of 12401433004240 in words is "twelve trillion, four hundred one billion, four hundred thirty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 5987 11974 23948 29935 41909 47896 59870 83818 95792 119740 167636 209545 239480 335272 419090 478960 670544 838180 1676360 3352720 3698917 7397834 14795668 18494585 25892419 29591336 36989170 51784838 59182672 73978340 103569676 129462095 147956680 207139352 258924190 295913360 414278704 517848380 1035696760 2071393520 22145416079 44290832158 88581664316 110727080395 155017912553 177163328632 221454160790 310035825106 354326657264 442908321580 620071650212 775089562765 885816643160 1240143300424 1550179125530 1771633286320 2480286600848 3100358251060 6200716502120 12401433004240