Search a number
-
+
40667410080 = 25325112567387
BaseRepresentation
bin100101110111111101…
…110110111010100000
310212222011220111000100
4211313331312322200
51131241324110310
630403215422400
72636530165533
oct456775667240
9125864814010
1040667410080
1116279769120
127a6b524a00
133ab1420b7b
141d7b0a0a1a
1510d03bcec0
hex977f76ea0

40667410080 has 144 divisors (see below), whose sum is σ = 151393735584. Its totient is φ = 9858762240.

The previous prime is 40667410073. The next prime is 40667410087. The reversal of 40667410080 is 8001476604.

40667410080 is a `hidden beast` number, since 406 + 6 + 74 + 100 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40667410073) and next prime (40667410087).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×406674100802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40667410087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267854 + ... + 1299533.

It is an arithmetic number, because the mean of its divisors is an integer number (1051345386).

Almost surely, 240667410080 is an apocalyptic number.

40667410080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40667410080 is an abundant number, since it is smaller than the sum of its proper divisors (110726325504).

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

40667410080 is a wasteful number, since it uses less digits than its factorization.

40667410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567419 (or 2567408 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 40667410080 its reverse (8001476604), we get a palindrome (48668886684).

The spelling of 40667410080 in words is "forty billion, six hundred sixty-seven million, four hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 2567387 5134774 7702161 10269548 12836935 15404322 20539096 23106483 25673870 28241257 30808644 38510805 41078192 46212966 51347740 56482514 61617288 77021610 82156384 84723771 92425932 102695480 112965028 115532415 123234576 141206285 154043220 169447542 184851864 205390960 225930056 231064830 246469152 254171313 282412570 308086440 338895084 369703728 410781920 423618855 451860112 462129660 508342626 564825140 616172880 677790168 739407456 847237710 903720224 924259320 1016685252 1129650280 1232345760 1270856565 1355580336 1694475420 1848518640 2033370504 2259300560 2541713130 2711160672 3388950840 3697037280 4066741008 4518601120 5083426260 6777901680 8133482016 10166852520 13555803360 20333705040 40667410080