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40698942080 = 2751031673697
BaseRepresentation
bin100101111001110110…
…001001001010000000
310220001101020110210012
4211321312021022000
51131322412121310
630410303324052
72640362204546
oct457166111200
9126041213705
1040698942080
1116295545625
127a79bb0628
133ab7b11264
141d8134bd96
1510d304ac05
hex979d89280

40698942080 has 128 divisors (see below), whose sum is σ = 98855527680. Its totient is φ = 16020652032.

The previous prime is 40698942079. The next prime is 40698942107. The reversal of 40698942080 is 8024989604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11006792 + ... + 11010488.

It is an arithmetic number, because the mean of its divisors is an integer number (772308810).

Almost surely, 240698942080 is an apocalyptic number.

40698942080 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 40698942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49427763840).

40698942080 is an abundant number, since it is smaller than the sum of its proper divisors (58156585600).

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

40698942080 is a wasteful number, since it uses less digits than its factorization.

40698942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 40698942080 in words is "forty billion, six hundred ninety-eight million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 167 206 320 334 412 515 640 668 824 835 1030 1336 1648 1670 2060 2672 3296 3340 3697 4120 5344 6592 6680 7394 8240 10688 13184 13360 14788 16480 17201 18485 21376 26720 29576 32960 34402 36970 53440 59152 65920 68804 73940 86005 106880 118304 137608 147880 172010 236608 275216 295760 344020 380791 473216 550432 591520 617399 688040 761582 1100864 1183040 1234798 1376080 1523164 1903955 2201728 2366080 2469596 2752160 3046328 3086995 3807910 4939192 5504320 6092656 6173990 7615820 9878384 11008640 12185312 12347980 15231640 19756768 24370624 24695960 30463280 39513536 48741248 49391920 60926560 63592097 79027072 98783840 121853120 127184194 197567680 243706240 254368388 317960485 395135360 508736776 635920970 1017473552 1271841940 2034947104 2543683880 4069894208 5087367760 8139788416 10174735520 20349471040 40698942080