Search a number
-
+
233434123240240 = 24513355776878209
BaseRepresentation
bin110101000100111010011101…
…111111101000001100110000
31010121112002021102001200011001
4311010322131333220030300
5221044041041022141430
62144250053351531344
7100112026120642426
oct6504723577501460
91117462242050131
10233434123240240
1168419945a5496a
122222111b689b54
13a033988242870
1441903b3d49116
151bec255a9a3ca
hexd44e9dfe8330

233434123240240 has 160 divisors (see below), whose sum is σ = 584794736991360. Its totient is φ = 86145124810752.

The previous prime is 233434123240237. The next prime is 233434123240243. The reversal of 233434123240240 is 42042321434332.

It is an interprime number because it is at equal distance from previous prime (233434123240237) and next prime (233434123240243).

It is a self number, because there is not a number n which added to its sum of digits gives 233434123240240.

It is not an unprimeable number, because it can be changed into a prime (233434123240243) 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, 28436361256 + ... + 28436369464.

It is an arithmetic number, because the mean of its divisors is an integer number (3654967106196).

Almost surely, 2233434123240240 is an apocalyptic number.

233434123240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233434123240240 is an abundant number, since it is smaller than the sum of its proper divisors (351360613751120).

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

233434123240240 is a wasteful number, since it uses less digits than its factorization.

233434123240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 233434123240240 its reverse (42042321434332), we get a palindrome (275476444674572).

The spelling of 233434123240240 in words is "two hundred thirty-three trillion, four hundred thirty-four billion, one hundred twenty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3557 7114 7687 8209 14228 15374 16418 17785 28456 30748 32836 35570 38435 41045 46241 56912 61496 65672 71140 76870 82090 92482 99931 106717 122992 131344 142280 153740 164180 184964 199862 213434 231205 284560 307480 328360 369928 399724 426868 462410 499655 533585 614960 656720 739856 799448 853736 924820 999310 1067170 1598896 1707472 1849640 1998620 2134340 3699280 3997240 4268680 7994480 8537360 27342659 29199413 54685318 58398826 63102583 109370636 116797652 126205166 136713295 145997065 218741272 233595304 252410332 273426590 291994130 315512915 355454567 379592369 437482544 467190608 504820664 546853180 583988260 631025830 710909134 759184738 820333579 1009641328 1093706360 1167976520 1262051660 1421818268 1518369476 1640667158 1777272835 1897961845 2187412720 2335953040 2524103320 2843636536 3036738952 3281334316 3554545670 3795923690 4101667895 5048206640 5687273072 6073477904 6562668632 7109091340 7591847380 8203335790 13125337264 14218182680 15183694760 16406671580 28436365360 30367389520 32813343160 65626686320 224455887731 448911775462 897823550924 1122279438655 1795647101848 2244558877310 2917926540503 3591294203696 4489117754620 5835853081006 8978235509240 11671706162012 14589632702515 17956471018480 23343412324024 29179265405030 46686824648048 58358530810060 116717061620120 233434123240240