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40375115232 = 2533179171733
BaseRepresentation
bin100101100110100010…
…110101110111100000
310212012210220100212020
4211212202311313200
51130142012141412
630314214501440
72626350550134
oct454642656740
9125183810766
1040375115232
1116139777731
1279a9664880
133a659c023a
141d503353c4
1510b48d218c
hex9668b5de0

40375115232 has 96 divisors (see below), whose sum is σ = 110789038080. Its totient is φ = 12859292160.

The previous prime is 40375115171. The next prime is 40375115251. The reversal of 40375115232 is 23251157304.

40375115232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40375115193 and 40375115202.

It is a congruent number.

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, 149238 + ... + 320970.

It is an arithmetic number, because the mean of its divisors is an integer number (1154052480).

Almost surely, 240375115232 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 40375115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55394519040).

40375115232 is an abundant number, since it is smaller than the sum of its proper divisors (70413922848).

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

40375115232 is a wasteful number, since it uses less digits than its factorization.

40375115232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171856 (or 171848 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 40375115232 in words is "forty billion, three hundred seventy-five million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 79 93 96 124 158 186 237 248 316 372 474 496 632 744 948 992 1264 1488 1896 2449 2528 2976 3792 4898 7347 7584 9796 14694 19592 29388 39184 58776 78368 117552 171733 235104 343466 515199 686932 1030398 1373864 2060796 2747728 4121592 5323723 5495456 8243184 10647446 13566907 15971169 16486368 21294892 27133814 31942338 40700721 42589784 54267628 63884676 81401442 85179568 108535256 127769352 162802884 170359136 217070512 255538704 325605768 420574117 434141024 511077408 651211536 841148234 1261722351 1302423072 1682296468 2523444702 3364592936 5046889404 6729185872 10093778808 13458371744 20187557616 40375115232