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4158702144 = 263226872
BaseRepresentation
bin1111011111100000…
…1100001001000000
3101201211022221212100
43313320030021000
532004111432034
61524355230400
7205025246022
oct36770141100
911654287770
104158702144
11184452a523
129808a8400
135137794cc
142b6466012
15195173099
hexf7e0c240

4158702144 has 63 divisors (see below), whose sum is σ = 11924606707. Its totient is φ = 1385718144.

The previous prime is 4158702133. The next prime is 4158702157. The reversal of 4158702144 is 4412078514.

It is a happy number.

The square root of 4158702144 is 64488.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4158702099 and 4158702108.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1546369 + ... + 1549055.

Almost surely, 24158702144 is an apocalyptic number.

4158702144 is the 64488-th square number.

It is an amenable number.

4158702144 is an abundant number, since it is smaller than the sum of its proper divisors (7765904563).

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

4158702144 is an frugal number, since it uses more digits than its factorization.

4158702144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 4158702144 is about 1608.1230320951.

Multiplying 4158702144 by its sum of digits (36), we get a square (149713277184 = 3869282).

4158702144 divided by its sum of digits (36) gives a square (115519504 = 107482).

The spelling of 4158702144 in words is "four billion, one hundred fifty-eight million, seven hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2687 5374 8061 10748 16122 21496 24183 32244 42992 48366 64488 85984 96732 128976 171968 193464 257952 386928 515904 773856 1547712 7219969 14439938 21659907 28879876 43319814 57759752 64979721 86639628 115519504 129959442 173279256 231039008 259918884 346558512 462078016 519837768 693117024 1039675536 1386234048 2079351072 4158702144