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40136965720 = 23519531516599
BaseRepresentation
bin100101011000010110…
…010111111001011000
310211121012210010010221
4211120112113321120
51124200030400340
630234430245424
72620426402525
oct453026277130
9124535703127
1040136965720
11160272a8455
127941956874
133a28569777
141d2a86214c
15109da3e44a
hex958597e58

40136965720 has 128 divisors (see below), whose sum is σ = 97511040000. Its totient is φ = 14821747200.

The previous prime is 40136965679. The next prime is 40136965721. The reversal of 40136965720 is 2756963104.

40136965720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401369657202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40136965721) 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, 6078981 + ... + 6085579.

It is an arithmetic number, because the mean of its divisors is an integer number (761805000).

Almost surely, 240136965720 is an apocalyptic number.

40136965720 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 40136965720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755520000).

40136965720 is an abundant number, since it is smaller than the sum of its proper divisors (57374074280).

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

40136965720 is a wasteful number, since it uses less digits than its factorization.

40136965720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 40136965720 in words is "forty billion, one hundred thirty-six million, nine hundred sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 151 152 190 212 265 302 380 424 530 604 755 760 1007 1060 1208 1510 2014 2120 2869 3020 4028 5035 5738 6040 6599 8003 8056 10070 11476 13198 14345 16006 20140 22952 26396 28690 32012 32995 40015 40280 52792 57380 64024 65990 80030 114760 125381 131980 152057 160060 250762 263960 304114 320120 349747 501524 608228 626905 699494 760285 996449 1003048 1216456 1253810 1398988 1520570 1748735 1992898 2507620 2797976 3041140 3497470 3985796 4982245 5015240 6082280 6645193 6994940 7971592 9964490 13290386 13989880 18932531 19928980 26580772 33225965 37865062 39857960 52811797 53161544 66451930 75730124 94662655 105623594 132903860 151460248 189325310 211247188 264058985 265807720 378650620 422494376 528117970 757301240 1003424143 1056235940 2006848286 2112471880 4013696572 5017120715 8027393144 10034241430 20068482860 40136965720