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314310133213432 = 231731598914197627
BaseRepresentation
bin100011101110111010000011…
…1110101101110100011111000
31112012212202101121020010221221
41013131310013311232203320
5312144124123100312212
63032252025402241424
7123130105052021356
oct10735640765564370
91465782347203857
10314310133213432
11911701a7172664
122b3034ab7b6274
131064c41a647135
145788997b247d6
152650ddb83e807
hex11ddd07d6e8f8

314310133213432 has 128 divisors (see below), whose sum is σ = 662404531968000. Its totient is φ = 139132191559680.

The previous prime is 314310133213379. The next prime is 314310133213459. The reversal of 314310133213432 is 234312331013413.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 15039403 + ... + 29237029.

It is an arithmetic number, because the mean of its divisors is an integer number (5175035406000).

Almost surely, 2314310133213432 is an apocalyptic number.

It is an amenable number.

314310133213432 is an abundant number, since it is smaller than the sum of its proper divisors (348094398754568).

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

314310133213432 is a wasteful number, since it uses less digits than its factorization.

314310133213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197829 (or 14197825 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 314310133213432 its reverse (234312331013413), we get a palindrome (548622464226845).

The spelling of 314310133213432 in words is "three hundred fourteen trillion, three hundred ten billion, one hundred thirty-three million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 31 34 59 62 68 89 118 124 136 178 236 248 356 472 527 712 1003 1054 1513 1829 2006 2108 2759 3026 3658 4012 4216 5251 5518 6052 7316 8024 10502 11036 12104 14632 21004 22072 31093 42008 46903 62186 89267 93806 124372 162781 178534 187612 248744 325562 357068 375224 651124 714136 1302248 2767277 5534554 11069108 14197627 22138216 28395254 56790508 113581016 241359659 440126437 482719318 837659993 880252874 965438636 1263588803 1675319986 1760505748 1930877272 2527177606 3350639972 3521011496 5054355212 6701279944 7482149429 10108710424 14240219881 14964298858 21481009651 25967459783 28480439762 29928597716 39171252893 42962019302 51934919566 56960879524 59857195432 74551739377 78342505786 85924038604 103869839132 113921759048 149103478754 156685011572 171848077208 207739678264 298206957508 313370023144 441446816311 596413915016 665911299181 882893632622 1267379569409 1331822598362 1765787265244 2311103920687 2534759138818 2663645196724 3531574530488 4622207841374 5069518277636 5327290393448 9244415682748 10139036555272 18488831365496 39288766651679 78577533303358 157155066606716 314310133213432