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40170203031 = 3731371938641
BaseRepresentation
bin100101011010010101…
…001010011110010111
310211200112022202011110
4211122111022132113
51124232032444111
630242014510103
72621312043360
oct453225123627
9124615282143
1040170203031
111604403a102
127950b05333
133a3240610a
141d31034b67
1510a19075a6
hex95a54a797

40170203031 has 64 divisors (see below), whose sum is σ = 65237835776. Its totient is φ = 21499084800.

The previous prime is 40170203011. The next prime is 40170203033. The reversal of 40170203031 is 13030207104.

It is not a de Polignac number, because 40170203031 - 29 = 40170202519 is a prime.

It is a super-2 number, since 2×401702030312 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40170202989 and 40170203007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40170203033) 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 63 ways as a sum of consecutive naturals, for example, 4644471 + ... + 4653111.

It is an arithmetic number, because the mean of its divisors is an integer number (1019341184).

Almost surely, 240170203031 is an apocalyptic number.

40170203031 is a deficient number, since it is larger than the sum of its proper divisors (25067632745).

40170203031 is a wasteful number, since it uses less digits than its factorization.

40170203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912.

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 40170203031 in words is "forty billion, one hundred seventy million, two hundred three thousand, thirty-one".

Divisors: 1 3 7 21 31 37 93 111 193 217 259 579 651 777 1147 1351 3441 4053 5983 7141 8029 8641 17949 21423 24087 25923 41881 49987 60487 125643 149961 181461 221371 267871 319717 664113 803613 959151 1549597 1667713 1875097 2238019 4648791 5003139 5625291 6714057 9911227 11673991 29733681 35021973 51699103 61705381 69378589 155097309 185116143 208135767 361893721 431937667 1085681163 1295813001 1912866811 5738600433 13390067677 40170203031