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5142224256 = 273132334421
BaseRepresentation
bin1001100101000000…
…00001110110000000
3111021101000001120020
410302200001312000
541012402134011
62210131413440
7241300120311
oct46240016600
914241001506
105142224256
1121a9719214
12bb6154280
1363c467460
1436ad24608
1520169c006
hex132801d80

5142224256 has 128 divisors (see below), whose sum is σ = 14776201440. Its totient is φ = 1575075840.

The previous prime is 5142224251. The next prime is 5142224267. The reversal of 5142224256 is 6524222415.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142224251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160926 + ... + 1165346.

Almost surely, 25142224256 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 5142224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388100720).

5142224256 is an abundant number, since it is smaller than the sum of its proper divisors (9633977184).

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

5142224256 is a wasteful number, since it uses less digits than its factorization.

5142224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4672 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 5142224256 is about 71709.3038315113. The cubic root of 5142224256 is about 1726.0379393417.

The spelling of 5142224256 in words is "five billion, one hundred forty-two million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 233 312 384 416 466 624 699 832 932 1248 1398 1664 1864 2496 2796 3029 3728 4421 4992 5592 6058 7456 8842 9087 11184 12116 13263 14912 17684 18174 22368 24232 26526 29824 35368 36348 44736 48464 53052 57473 70736 72696 89472 96928 106104 114946 141472 145392 172419 193856 212208 229892 282944 290784 344838 387712 424416 459784 565888 581568 689676 848832 919568 1030093 1163136 1379352 1697664 1839136 2060186 2758704 3090279 3678272 4120372 5517408 6180558 7356544 8240744 11034816 12361116 13391209 16481488 22069632 24722232 26782418 32962976 40173627 49444464 53564836 65925952 80347254 98888928 107129672 131851904 160694508 197777856 214259344 321389016 395555712 428518688 642778032 857037376 1285556064 1714074752 2571112128 5142224256