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40216258944 = 2736430987
BaseRepresentation
bin100101011101000100…
…110110100110000000
310211210201222122000000
4211131010312212000
51124330330241234
630250342000000
72622411363231
oct453504664600
9124721878000
1040216258944
1116068036644
127964416000
133a3bb10234
141d371c3088
1510a59a3899
hex95d136980

40216258944 has 112 divisors (see below), whose sum is σ = 120122820420. Its totient is φ = 13405388544.

The previous prime is 40216258897. The next prime is 40216258969. The reversal of 40216258944 is 44985261204.

It is a happy number.

40216258944 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 62 + 589 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40216258944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 122182 + ... + 308805.

Almost surely, 240216258944 is an apocalyptic number.

It is an amenable number.

40216258944 is an abundant number, since it is smaller than the sum of its proper divisors (79906561476).

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

40216258944 is an frugal number, since it uses more digits than its factorization.

40216258944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431019 (or 430992 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40216258944 in words is "forty billion, two hundred sixteen million, two hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 430987 861974 1292961 1723948 2585922 3447896 3878883 5171844 6895792 7757766 10343688 11636649 13791584 15515532 20687376 23273298 27583168 31031064 34909947 41374752 46546596 55166336 62062128 69819894 82749504 93093192 104729841 124124256 139639788 165499008 186186384 209459682 248248512 279279576 314189523 372372768 418919364 496497024 558559152 628379046 744745536 837838728 1117118304 1256758092 1489491072 1675677456 2234236608 2513516184 3351354912 4468473216 5027032368 6702709824 10054064736 13405419648 20108129472 40216258944