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40756077720 = 23335257146837
BaseRepresentation
bin100101111101010000…
…000110010010011000
310220012100202021011000
4211331100012102120
51131432023441340
630420104105000
72641654642011
oct457520062230
9126170667130
1040756077720
111631481a466
127a95165160
133ac68c7527
141d88b82008
1510d8084d30
hex97d406498

40756077720 has 128 divisors (see below), whose sum is σ = 136383134400. Its totient is φ = 10825924608.

The previous prime is 40756077709. The next prime is 40756077749. The reversal of 40756077720 is 2777065704.

It is a super-2 number, since 2×407560777202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204142 + ... + 350978.

Almost surely, 240756077720 is an apocalyptic number.

40756077720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40756077720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68191567200).

40756077720 is an abundant number, since it is smaller than the sum of its proper divisors (95627056680).

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

40756077720 is a wasteful number, since it uses less digits than its factorization.

40756077720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147114 (or 147104 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 40756077720 in words is "forty billion, seven hundred fifty-six million, seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 257 270 360 514 540 771 1028 1080 1285 1542 2056 2313 2570 3084 3855 4626 5140 6168 6939 7710 9252 10280 11565 13878 15420 18504 23130 27756 30840 34695 46260 55512 69390 92520 138780 146837 277560 293674 440511 587348 734185 881022 1174696 1321533 1468370 1762044 2202555 2643066 2936740 3524088 3964599 4405110 5286132 5873480 6607665 7929198 8810220 10572264 13215330 15858396 17620440 19822995 26430660 31716792 37737109 39645990 52861320 75474218 79291980 113211327 150948436 158583960 188685545 226422654 301896872 339633981 377371090 452845308 566056635 679267962 754742180 905690616 1018901943 1132113270 1358535924 1509484360 1698169905 2037803886 2264226540 2717071848 3396339810 4075607772 4528453080 5094509715 6792679620 8151215544 10189019430 13585359240 20378038860 40756077720