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40742855472 = 24311377512777
BaseRepresentation
bin100101111100011101…
…101010001100110000
310220011102212111122010
4211330131222030300
51131420132333342
630414512442520
72641434362124
oct457435521460
9126142774563
1040742855472
1116308309390
127a90849440
133ac3c48107
141d870dd584
1510d6d2229c
hex97c76a330

40742855472 has 160 divisors (see below), whose sum is σ = 118123582464. Its totient is φ = 11992320000.

The previous prime is 40742855471. The next prime is 40742855473. The reversal of 40742855472 is 27455824704.

40742855472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40742855471) and next prime (40742855473).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40742855471) 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, 14670148 + ... + 14672924.

Almost surely, 240742855472 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 40742855472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59061791232).

40742855472 is an abundant number, since it is smaller than the sum of its proper divisors (77380726992).

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

40742855472 is a wasteful number, since it uses less digits than its factorization.

40742855472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 48.

The spelling of 40742855472 in words is "forty billion, seven hundred forty-two million, eight hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 751 814 888 1221 1502 1628 1776 2253 2442 2777 3004 3256 4506 4884 5554 6008 6512 8261 8331 9012 9768 11108 12016 16522 16662 18024 19536 22216 24783 27787 30547 33044 33324 36048 44432 49566 55574 61094 66088 66648 83361 91641 99132 102749 111148 122188 132176 133296 166722 183282 198264 205498 222296 244376 305657 308247 333444 366564 396528 410996 444592 488752 611314 616494 666888 733128 821992 916971 1130239 1222628 1232988 1333776 1466256 1643984 1833942 2085527 2260478 2445256 2465976 3390717 3667884 4171054 4520956 4890512 4931952 6256581 6781434 7335768 8342108 9041912 12513162 13562868 14671536 16684216 18083824 22940797 25026324 27125736 33368432 45881594 50052648 54251472 68822391 77164499 91763188 100105296 137644782 154328998 183526376 231493497 275289564 308657996 367052752 462986994 550579128 617315992 848809489 925973988 1101158256 1234631984 1697618978 1851947976 2546428467 3395237956 3703895952 5092856934 6790475912 10185713868 13580951824 20371427736 40742855472