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39900045024 = 25327171164217
BaseRepresentation
bin100101001010001110…
…100101111011100000
310210222200222022001100
4211022032211323200
51123203402420044
630155124234400
72611521533610
oct451216457340
9123880868040
1039900045024
1115a15598424
12789653ba00
1339bb4563c8
141d071cca40
151087d40869
hex94a3a5ee0

39900045024 has 144 divisors (see below), whose sum is σ = 137303214048. Its totient is φ = 10729414656.

The previous prime is 39900045001. The next prime is 39900045079. The reversal of 39900045024 is 42054000993.

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

It is a super-3 number, since 3×399000450243 (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39900045024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547837 + ... + 616380.

It is an arithmetic number, because the mean of its divisors is an integer number (953494542).

Almost surely, 239900045024 is an apocalyptic number.

39900045024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

39900045024 is an abundant number, since it is smaller than the sum of its proper divisors (97403169024).

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

39900045024 is a wasteful number, since it uses less digits than its factorization.

39900045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164257 (or 1164246 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 39900045024 in words is "thirty-nine billion, nine hundred million, forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 1164217 2328434 3492651 4656868 6985302 8149519 9313736 10477953 13970604 16299038 18627472 19791689 20955906 24448557 27941208 32598076 37254944 39583378 41911812 48897114 55882416 59375067 65196152 73345671 79166756 83823624 97794228 111764832 118750134 130392304 138541823 146691342 158333512 167647248 178125201 195588456 237500268 260784608 277083646 293382684 316667024 335294496 356250402 391176912 415625469 475000536 554167292 586765368 633334048 712500804 782353824 831250938 950001072 1108334584 1173530736 1246876407 1425001608 1662501876 1900002144 2216669168 2347061472 2493752814 2850003216 3325003752 4433338336 4987505628 5700006432 6650007504 9975011256 13300015008 19950022512 39900045024