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40214241204 = 22353101757827
BaseRepresentation
bin100101011100111101…
…001001111110110100
310211210121012010011220
4211130331021332310
51124324321204304
630250230430340
72622355260504
oct453475117664
9124717163156
1040214241204
1116066988695
1279638023b0
133a3b5849c7
141d36c19a04
1510a5705ad9
hex95cf49fb4

40214241204 has 96 divisors (see below), whose sum is σ = 96794683776. Its totient is φ = 12988684800.

The previous prime is 40214241203. The next prime is 40214241211.

40214241204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×402142412042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40214241203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48626239 + ... + 48627065.

It is an arithmetic number, because the mean of its divisors is an integer number (1008277956).

Almost surely, 240214241204 is an apocalyptic number.

It is an amenable number.

40214241204 is an abundant number, since it is smaller than the sum of its proper divisors (56580442572).

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

40214241204 is a wasteful number, since it uses less digits than its factorization.

40214241204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 40214241204 in words is "forty billion, two hundred fourteen million, two hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 53 101 106 159 202 212 303 318 404 606 636 757 827 1212 1514 1654 2271 2481 3028 3308 4542 4962 5353 9084 9924 10706 16059 21412 32118 40121 43831 64236 76457 80242 83527 87662 120363 131493 152914 160484 167054 175324 229371 240726 250581 262986 305828 334108 458742 481452 501162 525972 626039 917484 1002324 1252078 1878117 2504156 3756234 4052221 4426931 7512468 8104442 8853862 12156663 13280793 16208884 17707724 24313326 26561586 33180067 48626652 53123172 63229939 66360134 99540201 126459878 132720268 189689817 199080402 252919756 379379634 398160804 758759268 3351186767 6702373534 10053560301 13404747068 20107120602 40214241204