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7042714896 = 24371271511093
BaseRepresentation
bin1101000111100011…
…10100110100010000
3200011211002222121110
412203301310310100
5103410413334041
63122501453320
7336345042330
oct64361646420
920154088543
107042714896
112a94479a38
121446711240
13883110429
144ab4b90c0
152b3455516
hex1a3c74d10

7042714896 has 160 divisors (see below), whose sum is σ = 21114585088. Its totient is φ = 1981324800.

The previous prime is 7042714883. The next prime is 7042714897. The reversal of 7042714896 is 6984172407.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7042714897) 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, 6442926 + ... + 6444018.

Almost surely, 27042714896 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 7042714896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557292544).

7042714896 is an abundant number, since it is smaller than the sum of its proper divisors (14071870192).

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

7042714896 is a wasteful number, since it uses less digits than its factorization.

7042714896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 7042714896 is about 83920.8847427147. The cubic root of 7042714896 is about 1916.8142787116.

The spelling of 7042714896 in words is "seven billion, forty-two million, seven hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 151 168 254 302 336 381 453 508 604 762 889 906 1016 1057 1093 1208 1524 1778 1812 2032 2114 2186 2416 2667 3048 3171 3279 3556 3624 4228 4372 5334 6096 6342 6558 7112 7248 7651 8456 8744 10668 12684 13116 14224 15302 16912 17488 19177 21336 22953 25368 26232 30604 38354 42672 45906 50736 52464 57531 61208 76708 91812 115062 122416 134239 138811 153416 165043 183624 230124 268478 277622 306832 330086 367248 402717 416433 460248 495129 536956 555244 660172 805434 832866 920496 971677 990258 1073912 1110488 1155301 1320344 1610868 1665732 1943354 1980516 2147824 2220976 2310602 2640688 2915031 3221736 3331464 3465903 3886708 3961032 4621204 5830062 6443472 6662928 6931806 7773416 7922064 9242408 11660124 13863612 15546832 18484816 20960461 23320248 27727224 41920922 46640496 55454448 62881383 83841844 125762766 146723227 167683688 251525532 293446454 335367376 440169681 503051064 586892908 880339362 1006102128 1173785816 1760678724 2347571632 3521357448 7042714896