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601334142738 = 2374241379457
BaseRepresentation
bin10001100000000100100…
…11101101011100010010
32010111011000021112021020
420300002103231130102
534323013020031423
61140125445340310
761305422610000
oct10600223553422
92114130245236
10601334142738
1121202a4a07aa
1298661707696
134492318ac94
1421167531a70
15109970544e3
hex8c024ed712

601334142738 has 160 divisors (see below), whose sum is σ = 1415659460160. Its totient is φ = 170272005120.

The previous prime is 601334142691. The next prime is 601334142743. The reversal of 601334142738 is 837241433106.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 601334142738.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1315829406 + ... + 1315829862.

It is an arithmetic number, because the mean of its divisors is an integer number (8847871626).

Almost surely, 2601334142738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601334142738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707829730080).

601334142738 is an abundant number, since it is smaller than the sum of its proper divisors (814325317422).

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

601334142738 is a wasteful number, since it uses less digits than its factorization.

601334142738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 601334142738 in words is "six hundred one billion, three hundred thirty-four million, one hundred forty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 241 294 343 379 457 482 686 723 758 914 1029 1137 1371 1446 1687 2058 2274 2401 2653 2742 3199 3374 4802 5061 5306 6398 7203 7959 9597 10122 11809 14406 15918 18571 19194 22393 23618 35427 37142 44786 55713 67179 70854 82663 91339 110137 111426 129997 134358 156751 165326 173203 182678 220274 247989 259994 274017 313502 330411 346406 389991 470253 495978 519609 548034 578641 639373 660822 770959 779982 909979 940506 1039218 1097257 1157282 1212421 1278746 1541918 1735923 1819958 1918119 2194514 2312877 2424842 2729937 3291771 3471846 3637263 3836238 4475611 4625754 5396713 5459874 6583542 7274526 8486947 8951222 10793426 13426833 16190139 16973894 25460841 26853666 31329277 32380278 37776991 41741923 50921682 59408629 62658554 75553982 83483846 93987831 113330973 118817258 125225769 178225887 187975662 219304939 226661946 250451538 264438937 292193461 356451774 415860403 438609878 528877874 584386922 657914817 793316811 831720806 876580383 1247581209 1315829634 1586633622 1753160766 2045354227 2495162418 4090708454 6136062681 12272125362 14317479589 28634959178 42952438767 85904877534 100222357123 200444714246 300667071369 601334142738