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136404036400 = 2452811420481
BaseRepresentation
bin111111100001001010…
…0000110101100110000
3111001002020021000001011
41333002110012230300
54213323413131100
6142355123520304
712566135115262
oct1770224065460
9431066230034
10136404036400
11529375824a5
1222529529094
13cb2a896198
14685dc0db32
1538351aabba
hex1fc2506b30

136404036400 has 60 divisors (see below), whose sum is σ = 328115560024. Its totient is φ = 54494208000.

The previous prime is 136404036361. The next prime is 136404036401. The reversal of 136404036400 is 4630404631.

It is a happy number.

It is a super-2 number, since 2×1364040364002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136404036401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114160 + ... + 534640.

Almost surely, 2136404036400 is an apocalyptic number.

136404036400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136404036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164057780012).

136404036400 is an abundant number, since it is smaller than the sum of its proper divisors (191711523624).

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

136404036400 is a wasteful number, since it uses less digits than its factorization.

136404036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421310 (or 421299 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 136404036400 in words is "one hundred thirty-six billion, four hundred four million, thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 811 1622 3244 4055 6488 8110 12976 16220 20275 32440 40550 64880 81100 162200 324400 420481 840962 1681924 2102405 3363848 4204810 6727696 8409620 10512025 16819240 21024050 33638480 42048100 84096200 168192400 341010091 682020182 1364040364 1705050455 2728080728 3410100910 5456161456 6820201820 8525252275 13640403640 17050504550 27280807280 34101009100 68202018200 136404036400