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40627209000 = 2335371934629
BaseRepresentation
bin100101110101100100…
…100000001100101000
310212212101021001111110
4211311210200030220
51131201031142000
630355222030320
72635531402320
oct456544401450
9125771231443
1040627209000
1116259000494
127a59b783a0
133aa5cb6951
141d759d8280
1510cbacb850
hex975920328

40627209000 has 128 divisors (see below), whose sum is σ = 144865094400. Its totient is φ = 9286214400.

The previous prime is 40627208987. The next prime is 40627209001. The reversal of 40627209000 is 90272604.

It is a happy number.

It is a super-2 number, since 2×406272090002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40627209001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946315 + ... + 988314.

It is an arithmetic number, because the mean of its divisors is an integer number (1131758550).

Almost surely, 240627209000 is an apocalyptic number.

40627209000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40627209000 is an abundant number, since it is smaller than the sum of its proper divisors (104237885400).

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

40627209000 is a wasteful number, since it uses less digits than its factorization.

40627209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934660 (or 1934646 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 40627209000 in words is "forty billion, six hundred twenty-seven million, two hundred nine thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 1934629 3869258 5803887 7738516 9673145 11607774 13542403 15477032 19346290 23215548 27084806 29019435 38692580 40627209 46431096 48365725 54169612 58038870 67712015 77385160 81254418 96731450 108339224 116077740 135424030 145097175 162508836 193462900 203136045 232155480 241828625 270848060 290194350 325017672 338560075 386925800 406272090 483657250 541696120 580388700 677120150 725485875 812544180 967314500 1015680225 1160777400 1354240300 1450971750 1625088360 1692800375 1934629000 2031360450 2708480600 2901943500 3385600750 4062720900 5078401125 5803887000 6771201500 8125441800 10156802250 13542403000 20313604500 40627209000