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40714264192 = 277536591301
BaseRepresentation
bin100101111010110000…
…100101111010000000
310220002110001220202211
4211322300211322000
51131340322423232
630412011551504
72640636351460
oct457260457200
9126073056684
1040714264192
11162a3160328
127a8315b594
133abb0473b4
141d833b9ba0
1510d4575a47
hex97ac25e80

40714264192 has 128 divisors (see below), whose sum is σ = 94662691200. Its totient is φ = 17080627200.

The previous prime is 40714264187. The next prime is 40714264237. The reversal of 40714264192 is 29146241704.

It is a tau number, because it is divible by the number of its divisors (128).

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, 31293942 + ... + 31295242.

It is an arithmetic number, because the mean of its divisors is an integer number (739552275).

Almost surely, 240714264192 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 40714264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47331345600).

40714264192 is an abundant number, since it is smaller than the sum of its proper divisors (53948427008).

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

40714264192 is a wasteful number, since it uses less digits than its factorization.

40714264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 40714264192 in words is "forty billion, seven hundred fourteen million, two hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 659 742 848 896 1301 1318 1484 1696 2602 2636 2968 3392 4613 5204 5272 5936 6784 9107 9226 10408 10544 11872 18214 18452 20816 21088 23744 34927 36428 36904 41632 42176 47488 68953 69854 72856 73808 83264 84352 137906 139708 145712 147616 166528 244489 275812 279416 291424 295232 482671 488978 551624 558832 582848 590464 857359 965342 977956 1103248 1117664 1165696 1714718 1930684 1955912 2206496 2235328 3429436 3861368 3911824 4412992 4470656 6001513 6858872 7722736 7823648 8825984 12003026 13717744 15445472 15647296 24006052 27435488 30890944 31294592 45440027 48012104 54870976 61781888 90880054 96024208 109741952 181760108 192048416 318080189 363520216 384096832 636160378 727040432 768193664 1272320756 1454080864 2544641512 2908161728 5089283024 5816323456 10178566048 20357132096 40714264192