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40371540372 = 22332332594987
BaseRepresentation
bin100101100110010101…
…001101000110010100
310212012120011202002000
4211212111031012110
51130140103242442
630314010115300
72626305300612
oct454625150624
9125176152060
1040371540372
11161377558a9
1279a841bb30
133a6503b037
141d4da846b2
1510b4427d4c
hex96654d194

40371540372 has 96 divisors (see below), whose sum is σ = 109273113600. Its totient is φ = 12865555296.

The previous prime is 40371540371. The next prime is 40371540379. The reversal of 40371540372 is 27304517304.

40371540372 is a `hidden beast` number, since 40 + 3 + 7 + 1 + 540 + 3 + 72 = 666.

It is a super-2 number, since 2×403715403722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40371540371) 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, 8092863 + ... + 8097849.

It is an arithmetic number, because the mean of its divisors is an integer number (1138261600).

Almost surely, 240371540372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40371540372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54636556800).

40371540372 is an abundant number, since it is smaller than the sum of its proper divisors (68901573228).

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

40371540372 is a wasteful number, since it uses less digits than its factorization.

40371540372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 40371540372 in words is "forty billion, three hundred seventy-one million, five hundred forty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 3259 4987 6518 9777 9974 13036 14961 19554 19948 29331 29922 39108 44883 58662 59844 74957 87993 89766 114701 117324 134649 149914 175986 179532 224871 229402 269298 299828 344103 351972 449742 458804 538596 674613 688206 899484 1032309 1349226 1376412 2023839 2064618 2698452 3096927 4047678 4129236 6193854 8095356 12387708 16252633 32505266 48757899 65010532 97515798 146273697 195031596 292547394 373810559 438821091 585094788 747621118 877642182 1121431677 1495242236 1755284364 2242863354 3364295031 4485726708 6728590062 10092885093 13457180124 20185770186 40371540372