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314650026164136 = 23313325121237547
BaseRepresentation
bin100011110001011000010101…
…1000010011011111110101000
31112021002020201022210001011210
41013202300223002123332220
5312220211223144223021
63033112120531553120
7123163466654312535
oct10742605302337650
91467066638701153
10314650026164136
1191291365951203
122b35934915b7a0
13106754a72b7000
14579b1dd129d8c
152659b813dbe76
hex11e2c2b09bfa8

314650026164136 has 128 divisors (see below), whose sum is σ = 852184826236800. Its totient is φ = 96811131156480.

The previous prime is 314650026164107. The next prime is 314650026164137. The reversal of 314650026164136 is 631461620056413.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (314650026164137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324461315 + ... + 1324698861.

It is an arithmetic number, because the mean of its divisors is an integer number (6657693954975).

Almost surely, 2314650026164136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314650026164136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426092413118400).

314650026164136 is an abundant number, since it is smaller than the sum of its proper divisors (537534800072664).

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

314650026164136 is a wasteful number, since it uses less digits than its factorization.

314650026164136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262716 (or 262686 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 314650026164136 in words is "three hundred fourteen trillion, six hundred fifty billion, twenty-six million, one hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 4056 4394 6591 8788 13182 17576 25121 26364 50242 52728 75363 100484 150726 200968 237547 301452 326573 475094 602904 653146 712641 950188 979719 1306292 1425282 1900376 1959438 2612584 2850564 3088111 3918876 4245449 5701128 6176222 7837752 8490898 9264333 12352444 12736347 16981796 18528666 24704888 25472694 33963592 37057332 40145443 50945388 55190837 74114664 80290886 101890776 110381674 120436329 160581772 165572511 220763348 240872658 321163544 331145022 441526696 481745316 521890759 662290044 963490632 1043781518 1324580088 1565672277 2087563036 3131344554 4175126072 5967418187 6262689108 11934836374 12525378216 17902254561 23869672748 35804509122 47739345496 71609018244 77576436431 143218036488 155152872862 232729309293 310305745724 465458618586 620611491448 930917237172 1008493673603 1861834474344 2016987347206 3025481020809 4033974694412 6050962041618 8067949388824 12101924083236 13110417756839 24203848166472 26220835513678 39331253270517 52441671027356 78662506541034 104883342054712 157325013082068 314650026164136