Search a number
-
+
23014121144 = 2371747836197
BaseRepresentation
bin10101011011101111…
…111001111010111000
32012101220010111011012
4111123233321322320
5334113103334034
614323400253052
71443211542050
oct253357717270
965356114135
1023014121144
11983a964933
124563471188
132229c94781
141184726560
158ea69dcce
hex55bbf9eb8

23014121144 has 128 divisors (see below), whose sum is σ = 53979125760. Its totient is φ = 8974583808.

The previous prime is 23014121129. The next prime is 23014121173. The reversal of 23014121144 is 44112141032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3710654 + ... + 3716850.

It is an arithmetic number, because the mean of its divisors is an integer number (421711920).

Almost surely, 223014121144 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 23014121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989562880).

23014121144 is an abundant number, since it is smaller than the sum of its proper divisors (30965004616).

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

23014121144 is a wasteful number, since it uses less digits than its factorization.

23014121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 23014121144 its reverse (44112141032), we get a palindrome (67126262176).

The spelling of 23014121144 in words is "twenty-three billion, fourteen million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 83 94 119 136 166 188 238 329 332 376 476 581 658 664 799 952 1162 1316 1411 1598 2324 2632 2822 3196 3901 4648 5593 5644 6197 6392 7802 9877 11186 11288 12394 15604 19754 22372 24788 27307 31208 39508 43379 44744 49576 54614 66317 79016 86758 105349 109228 132634 173516 210698 218456 265268 291259 347032 421396 464219 514351 530536 582518 737443 842792 928438 1028702 1165036 1474886 1856876 2038813 2057404 2330072 2949772 3600457 3713752 4077626 4114808 4951403 5899544 7200914 8155252 8743967 9902806 14401828 16310504 17487934 19805612 24174497 28803656 34659821 34975868 39611224 48348994 61207769 69319642 69951736 96697988 122415538 138639284 169221479 193395976 244831076 277278568 338442958 410966449 489662152 676885916 821932898 1353771832 1643865796 2876765143 3287731592 5753530286 11507060572 23014121144