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312341045752 = 23192913124129
BaseRepresentation
bin1001000101110001111…
…10100010000111111000
31002212012120210002220201
410202320332202013320
520104133301431002
6355253144331544
731365050040511
oct4427076420770
91085176702821
10312341045752
1111051041766a
125064a473bb4
13235b8832a48
1411190179a08
1581d0d4a087
hex48b8fa21f8

312341045752 has 96 divisors (see below), whose sum is σ = 642780810000. Its totient is φ = 141724477440.

The previous prime is 312341045683. The next prime is 312341045759. The reversal of 312341045752 is 257540143213.

It is a super-2 number, since 2×3123410457522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312341045759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75643624 + ... + 75647752.

Almost surely, 2312341045752 is an apocalyptic number.

It is an amenable number.

312341045752 is an abundant number, since it is smaller than the sum of its proper divisors (330439764248).

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

312341045752 is a wasteful number, since it uses less digits than its factorization.

312341045752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

Adding to 312341045752 its reverse (257540143213), we get a palindrome (569881188965).

The spelling of 312341045752 in words is "three hundred twelve billion, three hundred forty-one million, forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 19 29 38 58 76 116 131 152 232 262 524 551 1048 1102 2204 2489 3799 4129 4408 4978 7598 8258 9956 15196 16516 17161 19912 30392 33032 34322 68644 72181 78451 119741 137288 144362 156902 239482 288724 313804 326059 478964 497669 540899 577448 627608 652118 957928 995338 1081798 1304236 1990676 2163596 2275079 2608472 3981352 4327192 4550158 9100316 9455711 10277081 15686071 18200632 18911422 20554162 31372142 37822844 41108324 62744284 70857769 75645688 82216648 125488568 141715538 283431076 298035349 566862152 596070698 1192141396 1346297611 2054875301 2384282792 2692595222 4109750602 5385190444 8219501204 10770380888 16439002408 39042630719 78085261438 156170522876 312341045752