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4119734432 = 2511219291931
BaseRepresentation
bin1111010110001110…
…0010100010100000
3101122010000012012202
43311203202202200
531414123000212
61520444112332
7204043110362
oct36543424240
911563005182
104119734432
111824534500
1296b8356a8
135086847a8
142b1200d32
15191a270c2
hexf58e28a0

4119734432 has 144 divisors (see below), whose sum is σ = 9712936800. Its totient is φ = 1711987200.

The previous prime is 4119734419. The next prime is 4119734441. The reversal of 4119734432 is 2344379114.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132507 + ... + 2134437.

It is an arithmetic number, because the mean of its divisors is an integer number (67450950).

Almost surely, 24119734432 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 4119734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856468400).

4119734432 is an abundant number, since it is smaller than the sum of its proper divisors (5593202368).

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

4119734432 is a wasteful number, since it uses less digits than its factorization.

4119734432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1992 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 4119734432 is about 64185.1574119749. The cubic root of 4119734432 is about 1603.0844707873.

The spelling of 4119734432 in words is "four billion, one hundred nineteen million, seven hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 76 88 116 121 152 176 209 232 242 304 319 352 418 464 484 551 608 638 836 928 968 1102 1276 1672 1931 1936 2204 2299 2552 3344 3509 3862 3872 4408 4598 5104 6061 6688 7018 7724 8816 9196 10208 12122 14036 15448 17632 18392 21241 24244 28072 30896 36689 36784 42482 48488 55999 56144 61792 66671 73378 73568 84964 96976 111998 112288 133342 146756 169928 193952 223996 233651 266684 293512 339856 403579 447992 467302 533368 587024 615989 679712 807158 895984 934604 1063981 1066736 1174048 1231978 1614316 1791968 1869208 2127962 2133472 2463956 3228632 3738416 4255924 4439369 4927912 6457264 6775879 7476832 8511848 8878738 9855824 11703791 12914528 13551758 17023696 17757476 19711648 23407582 27103516 34047392 35514952 46815164 54207032 71029904 93630328 108414064 128741701 142059808 187260656 216828128 257483402 374521312 514966804 1029933608 2059867216 4119734432