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410131420040 = 23529536670973
BaseRepresentation
bin1011111011111011011…
…11001101001110001000
31110012121202121211112002
411331331233031032020
523204422120420130
6512224535410132
741426303356526
oct5757557151610
91405552554462
10410131420040
11148a32549211
12675a0223948
132c8a1620744
1415bc9975316
15aa060b5b45
hex5f7dbcd388

410131420040 has 64 divisors (see below), whose sum is σ = 972628009200. Its totient is φ = 155406963712.

The previous prime is 410131420037. The next prime is 410131420073. The reversal of 410131420040 is 40024131014.

It can be written as a sum of positive squares in 8 ways, for example, as 162201118564 + 247930301476 = 402742^2 + 497926^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 410131419994 and 410131420021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3274007 + ... + 3396966.

Almost surely, 2410131420040 is an apocalyptic number.

410131420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410131420040 is an abundant number, since it is smaller than the sum of its proper divisors (562496589160).

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

410131420040 is a wasteful number, since it uses less digits than its factorization.

410131420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671066 (or 6671062 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 410131420040 its reverse (40024131014), we get a palindrome (450155551054).

The spelling of 410131420040 in words is "four hundred ten billion, one hundred thirty-one million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 3074 6148 7685 12296 15370 30740 61480 6670973 13341946 26683892 33354865 53367784 66709730 133419460 193458217 266838920 353561569 386916434 707123138 773832868 967291085 1414246276 1547665736 1767807845 1934582170 2828492552 3535615690 3869164340 7071231380 7738328680 10253285501 14142462760 20506571002 41013142004 51266427505 82026284008 102532855010 205065710020 410131420040