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241420400430 = 235117125740093
BaseRepresentation
bin1110000011010111000…
…1101111011100101110
3212002011000002001002020
43200311301233130232
512423412110303210
6302523525011010
723304423354636
oct3406561573456
9762130061066
10241420400430
11934275820a0
123a957253a66
13199c5743961
14b9831916c6
15642e9d0770
hex3835c6f72e

241420400430 has 128 divisors (see below), whose sum is σ = 643495228416. Its totient is φ = 57475891200.

The previous prime is 241420400401. The next prime is 241420400447. The reversal of 241420400430 is 34004024142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 241420400430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6001464 + ... + 6041556.

It is an arithmetic number, because the mean of its divisors is an integer number (5027306472).

Almost surely, 2241420400430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241420400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321747614208).

241420400430 is an abundant number, since it is smaller than the sum of its proper divisors (402074827986).

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

241420400430 is a wasteful number, since it uses less digits than its factorization.

241420400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40442.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 241420400430 its reverse (34004024142), we get a palindrome (275424424572).

The spelling of 241420400430 in words is "two hundred forty-one billion, four hundred twenty million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 257 330 355 426 514 710 771 781 1065 1285 1542 1562 2130 2343 2570 2827 3855 3905 4686 5654 7710 7810 8481 11715 14135 16962 18247 23430 28270 36494 40093 42405 54741 80186 84810 91235 109482 120279 182470 200465 200717 240558 273705 400930 401434 441023 547410 601395 602151 882046 1003585 1202790 1204302 1323069 2007170 2205115 2646138 2846603 3010755 4410230 5693206 6021510 6615345 8539809 10303901 13230690 14233015 17079618 20607802 28466030 30911703 31312633 42699045 51519505 61823406 62625266 85398090 93937899 103039010 113342911 154558515 156563165 187875798 226685822 309117030 313126330 340028733 469689495 566714555 680057466 731576971 939378990 1133429110 1463153942 1700143665 2194730913 3400287330 3657884855 4389461826 7315769710 8047346681 10973654565 16094693362 21947309130 24142040043 40236733405 48284080086 80473466810 120710200215 241420400430