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144240124032444 = 223112833973014747
BaseRepresentation
bin100000110010111110000101…
…010110101111010110111100
3200220201012222020122222001110
4200302332011112233112330
5122401212233223014234
61230434555340242020
742245001510634506
oct4062760526572674
9626635866588043
10144240124032444
1141a60990758500
1214216851840310
136263a294b701b
14278938b564d76
1511a203b2531e9
hex832f855af5bc

144240124032444 has 144 divisors (see below), whose sum is σ = 375338441326464. Its totient is φ = 43073726129280.

The previous prime is 144240124032421. The next prime is 144240124032451. The reversal of 144240124032444 is 444230421042441.

It is a super-2 number, since 2×1442401240324442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46337479 + ... + 49352225.

It is an arithmetic number, because the mean of its divisors is an integer number (2606516953656).

Almost surely, 2144240124032444 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 144240124032444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187669220663232).

144240124032444 is an abundant number, since it is smaller than the sum of its proper divisors (231098317294020).

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

144240124032444 is a wasteful number, since it uses less digits than its factorization.

144240124032444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015256 (or 3015243 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 144240124032444 its reverse (444230421042441), we get a palindrome (588470545074885).

The spelling of 144240124032444 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred twenty-four million, thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 166 242 249 332 363 397 484 498 726 794 913 996 1191 1452 1588 1826 2382 2739 3652 4367 4764 5478 8734 10043 10956 13101 17468 20086 26202 30129 32951 40172 48037 52404 60258 65902 96074 98853 120516 131804 144111 192148 197706 288222 362461 395412 576444 724922 1087383 1449844 2174766 3014747 3987071 4349532 6029494 7974142 9044241 11961213 12058988 15948284 18088482 23922426 33162217 36176964 47844852 66324434 99486651 132648868 198973302 250224001 364784387 397946604 500448002 729568774 750672003 1000896004 1094353161 1196854559 1459137548 1501344006 2188706322 2393709118 2752464011 3002688012 3590563677 4377412644 4787418236 5504928022 7181127354 8257392033 11009856044 13165400149 14362254708 16514784066 26330800298 30277104121 33029568132 39496200447 52661600596 60554208242 78992400894 90831312363 99338928397 121108416484 144819401639 157984801788 181662624726 198677856794 289638803278 298016785191 363325249452 397355713588 434458204917 579277606556 596033570382 868916409834 1092728212367 1192067140764 1737832819668 2185456424734 3278184637101 4370912849468 6556369274202 12020010336037 13112738548404 24040020672074 36060031008111 48080041344148 72120062016222 144240124032444