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230241303142032 = 24371352710921049
BaseRepresentation
bin110100010110011100111011…
…000101100001111010010000
31010012012212001021202111212010
4310112130323011201322100
5220134233142101021112
62133403221112302520
766332246061616530
oct6426347305417220
91105185037674763
10230241303142032
11673a8874277526
12219a63826a1a40
139b6187aa679c0
1440bda4a75b4c0
151b941883d563c
hexd1673b161e90

230241303142032 has 80 divisors (see below), whose sum is σ = 732049271542400. Its totient is φ = 60722981047296.

The previous prime is 230241303142003. The next prime is 230241303142033.

It is a happy number.

230241303142032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2302413031420322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230241303142033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26355456157 + ... + 26355464892.

It is an arithmetic number, because the mean of its divisors is an integer number (9150615894280).

Almost surely, 2230241303142032 is an apocalyptic number.

It is an amenable number.

230241303142032 is an abundant number, since it is smaller than the sum of its proper divisors (501807968400368).

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

230241303142032 is a wasteful number, since it uses less digits than its factorization.

230241303142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52710921080 (or 52710921074 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 23024130 and 3142032, that added together give a palindrome (26166162).

The spelling of 230241303142032 in words is "two hundred thirty trillion, two hundred forty-one billion, three hundred three million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 52710921049 105421842098 158132763147 210843684196 316265526294 368976447343 421687368392 632531052588 685241973637 737952894686 843374736784 1106929342029 1265062105176 1370483947274 1475905789372 2055725920911 2213858684058 2530124210352 2740967894548 2951811578744 4111451841822 4427717368116 4796693815459 5481935789096 5903623157488 8222903683644 8855434736232 9593387630918 10963871578192 14390081446377 16445807367288 17710869472464 19186775261836 28780162892754 32891614734576 38373550523672 57560325785508 76747101047344 115120651571016 230241303142032