Search a number
-
+
1104139469312 = 29111942124509
BaseRepresentation
bin10000000100010011110…
…101110100001000000000
310220112222101012121002222
4100010103311310020000
5121042234201004222
62203122404430212
7142525414431125
oct20042365641000
93815871177088
101104139469312
11396298a44610
12159ba60a8368
138017357c5b9
143b62516474c
151dac40c5542
hex10113d74200

1104139469312 has 160 divisors (see below), whose sum is σ = 2539467374400. Its totient is φ = 474318028800.

The previous prime is 1104139469281. The next prime is 1104139469339. The reversal of 1104139469312 is 2139649314011.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45038114 + ... + 45062622.

It is an arithmetic number, because the mean of its divisors is an integer number (15871671090).

Almost surely, 21104139469312 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 1104139469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269733687200).

1104139469312 is an abundant number, since it is smaller than the sum of its proper divisors (1435327905088).

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

1104139469312 is a wasteful number, since it uses less digits than its factorization.

1104139469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24978 (or 24962 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 1104139469312 in words is "one trillion, one hundred four billion, one hundred thirty-nine million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 421 512 608 704 836 842 1216 1408 1672 1684 2432 2816 3344 3368 4631 4864 5632 6688 6736 7999 9262 9728 13376 13472 15998 18524 24509 26752 26944 31996 37048 49018 53504 53888 63992 74096 87989 98036 107008 107776 127984 148192 175978 196072 215552 255968 269599 296384 351956 392144 465671 511936 539198 592768 703912 784288 931342 1023872 1078396 1185536 1407824 1568576 1862684 2047744 2156792 2371072 2815648 3137152 3725368 4095488 4313584 5122381 5631296 6274304 7450736 8627168 10244762 10318289 11262592 12548608 14901472 17254336 20489524 20636578 22525184 29802944 34508672 40979048 41273156 45050368 59605888 69017344 81958096 82546312 113501179 119211776 138034688 163916192 165092624 196047491 227002358 238423552 327832384 330185248 392094982 454004716 655664768 660370496 784189964 908009432 1311329536 1320740992 1568379928 1816018864 2156522401 2622659072 2641481984 3136759856 3632037728 4313044802 5282963968 6273519712 7264075456 8626089604 12547039424 14528150912 17252179208 25094078848 29056301824 34504358416 50188157696 58112603648 69008716832 100376315392 138017433664 276034867328 552069734656 1104139469312