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230139300480 = 2735497324103
BaseRepresentation
bin1101011001010101011…
…1110000101010000000
3211000000210200210012120
43112111113300222000
512232311130103410
6253420255524240
722425031530465
oct3262527605200
9730023623176
10230139300480
11896686a97a1
1238729229680
131891850809b
14b1d2c2b66c
155ebe417570
hex35955f0a80

230139300480 has 128 divisors (see below), whose sum is σ = 733746971520. Its totient is φ = 61355593728.

The previous prime is 230139300451. The next prime is 230139300491. The reversal of 230139300480 is 84003931032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9536109 + ... + 9560211.

It is an arithmetic number, because the mean of its divisors is an integer number (5732398215).

Almost surely, 2230139300480 is an apocalyptic number.

230139300480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230139300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366873485760).

230139300480 is an abundant number, since it is smaller than the sum of its proper divisors (503607671040).

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

230139300480 is a wasteful number, since it uses less digits than its factorization.

230139300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29098 (or 29086 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 230139300480 in words is "two hundred thirty billion, one hundred thirty-nine million, three hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4973 9946 14919 19892 24103 24865 29838 39784 48206 49730 59676 72309 74595 79568 96412 99460 119352 120515 144618 149190 159136 192824 198920 238704 241030 289236 298380 318272 361545 385648 397840 477408 482060 578472 596760 636544 723090 771296 795680 954816 964120 1156944 1193520 1446180 1542592 1591360 1909632 1928240 2313888 2387040 2892360 3085184 3182720 3856480 4627776 4774080 5784720 7712960 9255552 9548160 11569440 15425920 23138880 46277760 119864219 239728438 359592657 479456876 599321095 719185314 958913752 1198642190 1438370628 1797963285 1917827504 2397284380 2876741256 3595926570 3835655008 4794568760 5753482512 7191853140 7671310016 9589137520 11506965024 14383706280 15342620032 19178275040 23013930048 28767412560 38356550080 46027860096 57534825120 76713100160 115069650240 230139300480