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74053245421144 = 231129312579362953
BaseRepresentation
bin10000110101100111011101…
…011000110100011001011000
3100201012102100222222010012201
4100311213131120310121120
534201242021311434034
6421255331415415544
721412112312166133
oct2065473530643130
9321172328863181
1074053245421144
1121660894526780
1283800220845b4
133242263a54ba2
1414402a654521a
15886465217014
hex4359dd634658

74053245421144 has 128 divisors (see below), whose sum is σ = 161813604096000. Its totient is φ = 31439192601600.

The previous prime is 74053245421069. The next prime is 74053245421229. The reversal of 74053245421144 is 44112454235047.

It is a junction number, because it is equal to n+sod(n) for n = 74053245421094 and 74053245421103.

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, 203848372 + ... + 204211324.

It is an arithmetic number, because the mean of its divisors is an integer number (1264168782000).

Almost surely, 274053245421144 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 74053245421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80906802048000).

74053245421144 is an abundant number, since it is smaller than the sum of its proper divisors (87760358674856).

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

74053245421144 is a wasteful number, since it uses less digits than its factorization.

74053245421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365609 (or 365605 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 46.

The spelling of 74053245421144 in words is "seventy-four trillion, fifty-three billion, two hundred forty-five million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 31 44 58 62 88 116 124 232 248 319 341 638 682 899 1276 1364 1798 2552 2579 2728 3596 5158 7192 9889 10316 19778 20632 28369 39556 56738 74791 79112 79949 113476 149582 159898 226952 299164 319796 362953 598328 639592 725906 822701 879439 1451812 1645402 1758878 2318521 2903624 3290804 3517756 3992483 4637042 6581608 7035512 7984966 9274084 10525637 11251543 15969932 18548168 21051274 22503086 25503731 31939864 42102548 45006172 51007462 84205096 90012344 102014924 115782007 123766973 204029848 231564014 247533946 326294747 463128028 495067892 652589494 926256056 936055787 990135784 1305178988 1872111574 2610357976 3589242217 3744223148 7178484434 7488446296 10296613657 14356968868 20593227314 27145617823 28713937736 29017729397 41186454628 54291235646 58035458794 82372909256 108582471292 116070917588 217164942584 232141835176 298601796053 319195023367 597203592106 638390046734 841514152513 1194407184212 1276780093468 1683028305026 2388814368424 2553560186936 3366056610052 6732113220104 9256655677643 18513311355286 37026622710572 74053245421144