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402680400040 = 235232691627123
BaseRepresentation
bin1011101110000011001…
…11110100100010101000
31102111101111012210121101
411313001213310202220
523044142140300130
6504553330251144
741043536632252
oct5670147644250
91374344183541
10402680400040
11145859651646
1266060a26ab4
132bc84a51779
14156c0172cd2
15a71bdab1ca
hex5dc19f48a8

402680400040 has 64 divisors (see below), whose sum is σ = 948938716800. Its totient is φ = 153496180992.

The previous prime is 402680400029. The next prime is 402680400043. The reversal of 402680400040 is 40004086204.

It is a junction number, because it is equal to n+sod(n) for n = 402680399981 and 402680400008.

It is not an unprimeable number, because it can be changed into a prime (402680400043) 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, 566082 + ... + 1061041.

It is an arithmetic number, because the mean of its divisors is an integer number (14827167450).

Almost surely, 2402680400040 is an apocalyptic number.

402680400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402680400040 is an abundant number, since it is smaller than the sum of its proper divisors (546258316760).

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

402680400040 is a wasteful number, since it uses less digits than its factorization.

402680400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627426 (or 1627422 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 402680400040 its reverse (40004086204), we get a palindrome (442684486244).

The spelling of 402680400040 in words is "four hundred two billion, six hundred eighty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 269 460 538 920 1076 1345 2152 2690 5380 6187 10760 12374 24748 30935 49496 61870 123740 247480 1627123 3254246 6508492 8135615 13016984 16271230 32542460 37423829 65084920 74847658 149695316 187119145 299390632 374238290 437696087 748476580 875392174 1496953160 1750784348 2188480435 3501568696 4376960870 8753921740 10067010001 17507843480 20134020002 40268040004 50335050005 80536080008 100670100010 201340200020 402680400040