Search a number
-
+
44143069608 = 23341123269257
BaseRepresentation
bin101001000111001000…
…011100100110101000
311012221101222021120000
4221013020130212220
51210401111211413
632140135103000
73121622620641
oct510710344650
9135841867500
1044143069608
11177a2680610
12867b511a60
134216517541
1421ca9246c8
1512355bd073
hexa4721c9a8

44143069608 has 160 divisors (see below), whose sum is σ = 140746541760. Its totient is φ = 12795045120.

The previous prime is 44143069583. The next prime is 44143069613. The reversal of 44143069608 is 80696034144.

44143069608 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 30 + 6 + 9 + 608 = 666.

It is a super-2 number, since 2×441430696082 (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 39 ways as a sum of consecutive naturals, for example, 29316 + ... + 298572.

It is an arithmetic number, because the mean of its divisors is an integer number (879665886).

Almost surely, 244143069608 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 44143069608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70373270880).

44143069608 is an abundant number, since it is smaller than the sum of its proper divisors (96603472152).

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

44143069608 is a wasteful number, since it uses less digits than its factorization.

44143069608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269309 (or 269296 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 44143069608 in words is "forty-four billion, one hundred forty-three million, sixty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 198 207 216 253 264 276 297 324 396 414 506 552 594 621 648 759 792 828 891 1012 1188 1242 1518 1656 1782 1863 2024 2277 2376 2484 3036 3564 3726 4554 4968 6072 6831 7128 7452 9108 13662 14904 18216 20493 27324 40986 54648 81972 163944 269257 538514 807771 1077028 1615542 2154056 2423313 2961827 3231084 4846626 5923654 6192911 6462168 7269939 8885481 9693252 11847308 12385822 14539878 17770962 18578733 19386504 21809817 23694616 24771644 26656443 29079756 35541924 37157466 43619634 49543288 53312886 55736199 58159512 68122021 71083848 74314932 79969329 87239268 106625772 111472398 136244042 148629864 159938658 167208597 174478536 204366063 213251544 222944796 239907987 272488084 319877316 334417194 408732126 445889592 479815974 501625791 544976168 613098189 639754632 668834388 817464252 959631948 1003251582 1226196378 1337668776 1634928504 1839294567 1919263896 2006503164 2452392756 3678589134 4013006328 4904785512 5517883701 7357178268 11035767402 14714356536 22071534804 44143069608