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312000132434142 = 23412717616149867
BaseRepresentation
bin100011011110000110011000…
…1000100000100100011011110
31111220200220212200020001010210
41012330030301010010203132
5311343302232400343032
63023322514312513250
7122501160064252005
oct10674146104044336
91456626780201123
10312000132434142
119045a570a29029
122abab8710ab826
13105126423830a9
145708c5bc49c3c
152610c8d1de2cc
hex11bc3311048de

312000132434142 has 64 divisors (see below), whose sum is σ = 642421705540608. Its totient is φ = 100956200256000.

The previous prime is 312000132434077. The next prime is 312000132434161. The reversal of 312000132434142 is 241434231000213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47657893 + ... + 53807759.

It is an arithmetic number, because the mean of its divisors is an integer number (10037839149072).

Almost surely, 2312000132434142 is an apocalyptic number.

312000132434142 is an abundant number, since it is smaller than the sum of its proper divisors (330421573106466).

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

312000132434142 is a wasteful number, since it uses less digits than its factorization.

312000132434142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150945.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312000132434142 its reverse (241434231000213), we get a palindrome (553434363434355).

The spelling of 312000132434142 in words is "three hundred twelve trillion, one hundred thirty-two million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 41 82 123 246 271 542 761 813 1522 1626 2283 4566 11111 22222 31201 33333 62402 66666 93603 187206 206231 412462 618693 1237386 6149867 8455471 12299734 16910942 18449601 25366413 36899202 50732826 252144547 504289094 756433641 1512867282 1666613957 3333227914 4680048787 4999841871 9360097574 9999683742 14040146361 28080292722 68331172237 136662344474 191882000267 204993516711 383764000534 409987033422 575646000801 1151292001602 1268293221277 2536586442554 3804879663831 7609759327662 52000022072357 104000044144714 156000066217071 312000132434142