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13400400202040 = 2351965327001693
BaseRepresentation
bin1100001100000000011000…
…0110000000100100111000
31202110001202221010021021002
43003000012012000210320
53224023004422431130
644300020414304132
72552101260225245
oct303000606004470
952401687107232
1013400400202040
1142a7094625885
121605106ab8048
137628631a8ca7
143448234025cc
15183896283b45
hexc3006180938

13400400202040 has 64 divisors (see below), whose sum is σ = 31786394176800. Its totient is φ = 5070269716992.

The previous prime is 13400400202037. The next prime is 13400400202061. The reversal of 13400400202040 is 4020200400431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13004567 + ... + 13997126.

Almost surely, 213400400202040 is an apocalyptic number.

13400400202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400400202040 is an abundant number, since it is smaller than the sum of its proper divisors (18385993974760).

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

13400400202040 is a wasteful number, since it uses less digits than its factorization.

13400400202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27002376 (or 27002372 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13400400202040 its reverse (4020200400431), we get a palindrome (17420600602471).

The spelling of 13400400202040 in words is "thirteen trillion, four hundred billion, four hundred million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 653 760 1306 2612 3265 5224 6530 12407 13060 24814 26120 49628 62035 99256 124070 248140 496280 27001693 54003386 108006772 135008465 216013544 270016930 513032167 540033860 1026064334 1080067720 2052128668 2565160835 4104257336 5130321670 10260643340 17632105529 20521286680 35264211058 70528422116 88160527645 141056844232 176321055290 335010005051 352642110580 670020010102 705284221160 1340040020204 1675050025255 2680080040408 3350100050510 6700200101020 13400400202040