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402046620464040 = 233571241195803197
BaseRepresentation
bin101101101101010001100010…
…1111111101111001110101000
31221201112021121020201220221020
41123122203011333233032220
5410144112434314322130
63543025400114212440
7150453624023556546
oct13332430577571650
91851467536656836
10402046620464040
11107117017a11102
12391133b3884120
1314344aab642706
14713d235a66d96
15317324de3be10
hex16da8c5fef3a8

402046620464040 has 128 divisors (see below), whose sum is σ = 1228202971902720. Its totient is φ = 105263798169600.

The previous prime is 402046620463993. The next prime is 402046620464143. The reversal of 402046620464040 is 40464026640204.

It is a junction number, because it is equal to n+sod(n) for n = 402046620463983 and 402046620464001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95848279 + ... + 99954918.

It is an arithmetic number, because the mean of its divisors is an integer number (9595335717990).

Almost surely, 2402046620464040 is an apocalyptic number.

402046620464040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402046620464040 is an abundant number, since it is smaller than the sum of its proper divisors (826156351438680).

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

402046620464040 is a wasteful number, since it uses less digits than its factorization.

402046620464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195803523 (or 195803519 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 402046620464040 in words is "four hundred two trillion, forty-six billion, six hundred twenty million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 241 284 355 426 482 568 710 723 852 964 1065 1205 1420 1446 1704 1928 2130 2410 2840 2892 3615 4260 4820 5784 7230 8520 9640 14460 17111 28920 34222 51333 68444 85555 102666 136888 171110 205332 256665 342220 410664 513330 684440 1026660 2053320 195803197 391606394 587409591 783212788 979015985 1174819182 1566425576 1958031970 2349638364 2937047955 3916063940 4699276728 5874095910 7832127880 11748191820 13902026987 23496383640 27804053974 41706080961 47188570477 55608107948 69510134935 83412161922 94377140954 111216215896 139020269870 141565711431 166824323844 188754281908 208530404805 235942852385 278040539740 283131422862 333648647688 377508563816 417060809610 471885704770 556081079480 566262845724 707828557155 834121619220 943771409540 1132525691448 1415657114310 1668243238440 1887542819080 2831314228620 3350388503867 5662628457240 6700777007734 10051165511601 13401554015468 16751942519335 20102331023202 26803108030936 33503885038670 40204662046404 50255827558005 67007770077340 80409324092808 100511655116010 134015540154680 201023310232020 402046620464040