Search a number
-
+
29440005321130 = 251719371791376197
BaseRepresentation
bin1101011000110100010010…
…00011110011000110101010
310212020102210120220120201021
412230122021003303012222
512324321112330234010
6142340315101443054
76125653530223405
oct654321103630652
9125212716816637
1029440005321130
119420488560428
12337580627048a
1313572469a82c1
1473ac9229ad3c
15360c071448da
hex1ac6890f31aa

29440005321130 has 128 divisors (see below), whose sum is σ = 60997499193600. Its totient is φ = 10159100891136.

The previous prime is 29440005321127. The next prime is 29440005321163. The reversal of 29440005321130 is 3112350004492.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20704192 + ... + 22080388.

It is an arithmetic number, because the mean of its divisors is an integer number (476542962450).

Almost surely, 229440005321130 is an apocalyptic number.

29440005321130 is an abundant number, since it is smaller than the sum of its proper divisors (31557493872470).

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

29440005321130 is a wasteful number, since it uses less digits than its factorization.

29440005321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376456.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 29440005321130 in words is "twenty-nine trillion, four hundred forty billion, five million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 17 19 34 37 38 74 85 95 170 179 185 190 323 358 370 629 646 703 895 1258 1406 1615 1790 3043 3145 3230 3401 3515 6086 6290 6623 6802 7030 11951 13246 15215 17005 23902 30430 33115 34010 57817 59755 66230 112591 115634 119510 125837 225182 251674 289085 562955 578170 629185 1125910 1258370 1376197 2139229 2752394 4278458 6880985 10696145 13761970 21392290 23395349 26147743 46790698 50919289 52295486 101838578 116976745 130738715 233953490 246339263 254596445 261477430 444511631 492678526 509192890 865627913 889023262 967466491 1231696315 1731255826 1934932982 2222558155 2463392630 4187767471 4328139565 4445116310 4680445997 4837332455 8375534942 8656279130 9114552731 9360891994 9674664910 16446930347 18229105462 20938837355 23402229985 32893860694 41877674710 45572763655 46804459970 79567581949 82234651735 91145527310 154947396427 159135163898 164469303470 173176501889 309894792854 346353003778 397837909745 774736982135 795675819490 865882509445 1549473964270 1731765018890 2944000532113 5888001064226 14720002660565 29440005321130