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40629140103312 = 2432711433965911
BaseRepresentation
bin10010011110011101101010…
…11101101010000010010000
312022212002220122000200200100
421033032311131222002100
520311131434331301222
6222224434100052400
711362233652510125
oct1117166535520220
9168762818020610
1040629140103312
1111a447a3430582
124682248994100
1319894083c5247
14a066648ca74c
154a6ccce594ac
hex24f3b576a090

40629140103312 has 60 divisors (see below), whose sum is σ = 113706789861184. Its totient is φ = 13542852922560.

The previous prime is 40629140103301. The next prime is 40629140103313. The reversal of 40629140103312 is 21330104192604.

40629140103312 is a `hidden beast` number, since 4 + 0 + 6 + 291 + 40 + 10 + 3 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40629140103313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8261637 + ... + 12227547.

Almost surely, 240629140103312 is an apocalyptic number.

It is an amenable number.

40629140103312 is an abundant number, since it is smaller than the sum of its proper divisors (73077649757872).

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

40629140103312 is a wasteful number, since it uses less digits than its factorization.

40629140103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037068 (or 4037059 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 40629140103312 its reverse (21330104192604), we get a palindrome (61959244295916).

The spelling of 40629140103312 in words is "forty trillion, six hundred twenty-nine billion, one hundred forty million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 71143 142286 213429 284572 426858 569144 640287 853716 1138288 1280574 1707432 2561148 3414864 3965911 5122296 7931822 10244592 11897733 15863644 23795466 31727288 35693199 47590932 63454576 71386398 95181864 142772796 190363728 285545592 571091184 282146806273 564293612546 846440418819 1128587225092 1692880837638 2257174450184 2539321256457 3385761675276 4514348900368 5078642512914 6771523350552 10157285025828 13543046701104 20314570051656 40629140103312