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40345553920 = 210571125713
BaseRepresentation
bin100101100100110010…
…000100110000000000
310212010202021111100211
4211210302010300000
51130111430211140
630311241123504
72625541356430
oct454462046000
9125122244324
1040345553920
11161240168a1
12799b789594
133a5c83cb39
141d4a43c2c0
1510b1ee32ea
hex964c84c00

40345553920 has 88 divisors (see below), whose sum is σ = 110608154784. Its totient is φ = 13832749056.

The previous prime is 40345553917. The next prime is 40345553957. The reversal of 40345553920 is 2935554304.

It is a super-2 number, since 2×403455539202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527017 + ... + 598696.

Almost surely, 240345553920 is an apocalyptic number.

40345553920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40345553920 is an abundant number, since it is smaller than the sum of its proper divisors (70262600864).

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

40345553920 is a wasteful number, since it uses less digits than its factorization.

40345553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125745 (or 1125727 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 40345553920 in words is "forty billion, three hundred forty-five million, five hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 1125713 2251426 4502852 5628565 7879991 9005704 11257130 15759982 18011408 22514260 31519964 36022816 39399955 45028520 63039928 72045632 78799910 90057040 126079856 144091264 157599820 180114080 252159712 288182528 315199640 360228160 504319424 576365056 630399280 720456320 1008638848 1152730112 1260798560 1440912640 2017277696 2521597120 2881825280 4034555392 5043194240 5763650560 8069110784 10086388480 20172776960 40345553920