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40732070880 = 2535587144563
BaseRepresentation
bin100101111011110100…
…100001001111100000
310220010200120120221210
4211323310201033200
51131404402232010
630413445350120
72641243614144
oct457364411740
9126120516853
1040732070880
11163022127a6
127a89108340
133ac19403b7
141d858d3224
1510d5de1b20
hex97bd213e0

40732070880 has 96 divisors (see below), whose sum is σ = 128525491584. Its totient is φ = 10843306496.

The previous prime is 40732070861. The next prime is 40732070881. The reversal of 40732070880 is 8807023704.

40732070880 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (40732070881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209479 + ... + 354041.

It is an arithmetic number, because the mean of its divisors is an integer number (1338807204).

Almost surely, 240732070880 is an apocalyptic number.

40732070880 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 40732070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64262745792).

40732070880 is an abundant number, since it is smaller than the sum of its proper divisors (87793420704).

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

40732070880 is a wasteful number, since it uses less digits than its factorization.

40732070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145168 (or 145160 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 40732070880 in words is "forty billion, seven hundred thirty-two million, seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 18784 23480 28176 35220 46960 56352 70440 93920 140880 144563 281760 289126 433689 578252 722815 867378 1156504 1445630 1734756 2168445 2313008 2891260 3469512 4336890 4626016 5782520 6939024 8673780 11565040 13878048 17347560 23130080 34695120 69390240 84858481 169716962 254575443 339433924 424292405 509150886 678867848 848584810 1018301772 1272877215 1357735696 1697169620 2036603544 2545754430 2715471392 3394339240 4073207088 5091508860 6788678480 8146414176 10183017720 13577356960 20366035440 40732070880