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400420202402080 = 2557546479654221
BaseRepresentation
bin101101100001011100001011…
…1111011001101000100100000
31221111202210112101012211211201
41123002320113323031010200
5404440441033303331310
63535342300154450544
7150225255616260640
oct13302702773150440
91844683471184751
10400420202402080
1110664a288360763
1238ab014b733a54
131425760347c463
1470c462693c520
153145cad423e3a
hex16c2e17ecd120

400420202402080 has 96 divisors (see below), whose sum is σ = 1081138177405440. Its totient is φ = 137286465469440.

The previous prime is 400420202402041. The next prime is 400420202402137. The reversal of 400420202402080 is 80204202024004.

It is a super-3 number, since 3×4004202024020803 (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611729370 + ... + 612383590.

It is an arithmetic number, because the mean of its divisors is an integer number (11261856014640).

Almost surely, 2400420202402080 is an apocalyptic number.

400420202402080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400420202402080 is an abundant number, since it is smaller than the sum of its proper divisors (680717975003360).

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

400420202402080 is a wasteful number, since it uses less digits than its factorization.

400420202402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200722 (or 1200714 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 400420202402080 its reverse (80204202024004), we get a palindrome (480624404426084).

The spelling of 400420202402080 in words is "four hundred trillion, four hundred twenty billion, two hundred two million, four hundred two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 546479 654221 1092958 1308442 2185916 2616884 2732395 3271105 3825353 4371832 4579547 5233768 5464790 6542210 7650706 8743664 9159094 10467536 10929580 13084420 15301412 17487328 18318188 19126765 20935072 21859160 22897735 26168840 30602824 36636376 38253530 43718320 45795470 52337680 61205648 73272752 76507060 87436640 91590940 104675360 122411296 146545504 153014120 183181880 306028240 366363760 612056480 732727520 357518037859 715036075718 1430072151436 1787590189295 2502626265013 2860144302872 3575180378590 5005252530026 5720288605744 7150360757180 10010505060052 11440577211488 12513131325065 14300721514360 20021010120104 25026262650130 28601443028720 40042020240208 50052525300260 57202886057440 80084040480416 100105050600520 200210101201040 400420202402080