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40135027044 = 223719313671811
BaseRepresentation
bin100101011000001110…
…111110100101100100
310211121002010121210010
4211120032332211210
51124144031331134
630234320530220
72620404046440
oct453016764544
9124532117703
1040135027044
11160261a3942
127941180970
133a2803b218
141d2a4b9820
15109d7a9ce9
hex9583be964

40135027044 has 96 divisors (see below), whose sum is σ = 107719428096. Its totient is φ = 11393095680.

The previous prime is 40135027039. The next prime is 40135027063. The reversal of 40135027044 is 44072053104.

40135027044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401350270442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22160899 + ... + 22162709.

It is an arithmetic number, because the mean of its divisors is an integer number (1122077376).

Almost surely, 240135027044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40135027044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53859714048).

40135027044 is an abundant number, since it is smaller than the sum of its proper divisors (67584401052).

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

40135027044 is a wasteful number, since it uses less digits than its factorization.

40135027044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 40135027044 in words is "forty billion, one hundred thirty-five million, twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 1367 1811 2316 2702 2734 3622 4053 4101 5404 5433 5468 7244 8106 8202 9569 10866 12677 16212 16404 19138 21732 25354 28707 38031 38276 50708 57414 76062 114828 152124 263831 349523 527662 699046 791493 1048569 1055324 1398092 1582986 1846817 2097138 2446661 2475637 3165972 3693634 4194276 4893322 4951274 5540451 7339983 7387268 7426911 9786644 9902548 11080902 14679966 14853822 17329459 22161804 29359932 29707644 34658918 51988377 69317836 103976754 207953508 477797941 955595882 1433393823 1911191764 2866787646 3344585587 5733575292 6689171174 10033756761 13378342348 20067513522 40135027044