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309411784272 = 243371572514421
BaseRepresentation
bin1001000000010100110…
…00010010011001010000
31002120122102212012120210
410200022120102121100
520032133404044042
6354050344204120
731232340525543
oct4401230223120
91076572765523
10309411784272
1110a247982108
124bb71469640
132323c9b8226
1410d9310885a
1580adacaa9c
hex480a612650

309411784272 has 160 divisors (see below), whose sum is σ = 829624650624. Its totient is φ = 99290880000.

The previous prime is 309411784271. The next prime is 309411784387. The reversal of 309411784272 is 272487114903.

It is a super-3 number, since 3×3094117842723 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309411784271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69984622 + ... + 69989042.

Almost surely, 2309411784272 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 309411784272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414812325312).

309411784272 is an abundant number, since it is smaller than the sum of its proper divisors (520212866352).

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

309411784272 is a wasteful number, since it uses less digits than its factorization.

309411784272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 309411784272 in words is "three hundred nine billion, four hundred eleven million, seven hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 157 222 251 296 314 444 471 502 592 628 753 888 942 1004 1256 1506 1776 1884 2008 2512 3012 3768 4016 4421 5809 6024 7536 8842 9287 11618 12048 13263 17427 17684 18574 23236 26526 27861 34854 35368 37148 39407 46472 53052 55722 69708 70736 74296 78814 92944 106104 111444 118221 139416 148592 157628 163577 212208 222888 236442 278832 315256 327154 445776 472884 490731 630512 654308 694097 945768 981462 1109671 1308616 1388194 1458059 1891536 1962924 2082291 2219342 2617232 2776388 2916118 3329013 3925848 4164582 4374177 4438684 5552776 5832236 6658026 7851696 8329164 8748354 8877368 11105552 11664472 13316052 16658328 17496708 17754736 23328944 25681589 26632104 33316656 34993416 41057827 51363178 53264208 69986832 77044767 82115654 102726356 123173481 154089534 164231308 174218347 205452712 246346962 308179068 328462616 348436694 410905424 492693924 522655041 616358136 656925232 696873388 985387848 1045310082 1232716272 1393746776 1970775696 2090620164 2787493552 4181240328 6446078839 8362480656 12892157678 19338236517 25784315356 38676473034 51568630712 77352946068 103137261424 154705892136 309411784272