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40231664820 = 2234579314359
BaseRepresentation
bin100101011101111111…
…100111110010110100
310211211210222022220000
4211131333213302310
51124343301233240
630252052111300
72622656336304
oct453577476264
9124753868800
1040231664820
11160757a9276
127969605530
133a42075539
141d39273604
1510a6ee8430
hex95dfe7cb4

40231664820 has 120 divisors (see below), whose sum is σ = 127806201600. Its totient is φ = 10592607168.

The previous prime is 40231664813. The next prime is 40231664827. The reversal of 40231664820 is 2846613204.

40231664820 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 1 + 6 + 648 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40231664813) and next prime (40231664827).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40231664827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29200 + ... + 285159.

It is an arithmetic number, because the mean of its divisors is an integer number (1065051680).

Almost surely, 240231664820 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 40231664820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903100800).

40231664820 is an abundant number, since it is smaller than the sum of its proper divisors (87574536780).

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

40231664820 is a wasteful number, since it uses less digits than its factorization.

40231664820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314459 (or 314448 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40231664820 in words is "forty billion, two hundred thirty-one million, six hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 810 948 1185 1422 1580 1620 2133 2370 2844 3555 4266 4740 6399 7110 8532 10665 12798 14220 21330 25596 31995 42660 63990 127980 314359 628718 943077 1257436 1571795 1886154 2829231 3143590 3772308 4715385 5658462 6287180 8487693 9430770 11316924 14146155 16975386 18861540 24834361 25463079 28292310 33950772 42438465 49668722 50926158 56584620 74503083 84876930 99337444 101852316 124171805 127315395 149006166 169753860 223509249 248343610 254630790 298012332 372515415 447018498 496687220 509261580 670527747 745030830 894036996 1117546245 1341055494 1490061660 2011583241 2235092490 2682110988 3352638735 4023166482 4470184980 6705277470 8046332964 10057916205 13410554940 20115832410 40231664820