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40102313412 = 223723127916229
BaseRepresentation
bin100101010110010010…
…001011110111000100
310211111210120121010010
4211112102023313010
51124112143012122
630231151430220
72616526016430
oct452622136704
9124453517103
1040102313412
111600978a687
127932225370
133a21326045
141d260019c0
15109a996e0c
hex95648bdc4

40102313412 has 96 divisors (see below), whose sum is σ = 111683174400. Its totient is φ = 10950394752.

The previous prime is 40102313411. The next prime is 40102313443. The reversal of 40102313412 is 21431320104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40102313411) 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 31 ways as a sum of consecutive naturals, for example, 2462914 + ... + 2479142.

It is an arithmetic number, because the mean of its divisors is an integer number (1163366400).

Almost surely, 240102313412 is an apocalyptic number.

40102313412 is a gapful number since it is divisible by the number (42) 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 40102313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55841587200).

40102313412 is an abundant number, since it is smaller than the sum of its proper divisors (71580860988).

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

40102313412 is a wasteful number, since it uses less digits than its factorization.

40102313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17545 (or 17543 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40102313412 its reverse (21431320104), we get a palindrome (61533633516).

The spelling of 40102313412 in words is "forty billion, one hundred two million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1279 1932 2558 3837 5116 7674 8953 15348 16229 17906 26859 29417 32458 35812 48687 53718 58834 64916 88251 97374 107436 113603 117668 176502 194748 205919 227206 340809 353004 373267 411838 454412 617757 681618 746534 823676 1119801 1235514 1363236 1493068 2239602 2471028 2612869 4479204 5225738 7838607 10451476 15677214 20756891 31354428 41513782 62270673 83027564 124541346 145298237 249082692 290596474 435894711 477408493 581192948 871789422 954816986 1432225479 1743578844 1909633972 2864450958 3341859451 5728901916 6683718902 10025578353 13367437804 20051156706 40102313412