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2914300745312 = 2511229257140677
BaseRepresentation
bin101010011010001001110…
…111000101011001100000
3101022121022122000001210012
4222122021313011121200
5340221441442322222
610110451123024052
7420360042416435
oct52321167053140
911277278001705
102914300745312
11a23a47882260
123b098950b028
13181a81a2b448
14a10a5277b8c
1550c1ac471e2
hex2a689dc5660

2914300745312 has 96 divisors (see below), whose sum is σ = 6310961385120. Its totient is φ = 1313756282880.

The previous prime is 2914300745281. The next prime is 2914300745329. The reversal of 2914300745312 is 2135470034192.

It is a self number, because there is not a number n which added to its sum of digits gives 2914300745312.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20645918 + ... + 20786594.

It is an arithmetic number, because the mean of its divisors is an integer number (65739181095).

Almost surely, 22914300745312 is an apocalyptic number.

2914300745312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2914300745312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155480692560).

2914300745312 is an abundant number, since it is smaller than the sum of its proper divisors (3396660639808).

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

2914300745312 is a wasteful number, since it uses less digits than its factorization.

2914300745312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141184 (or 141176 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 2914300745312 in words is "two trillion, nine hundred fourteen billion, three hundred million, seven hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 229 257 352 458 514 916 1028 1832 2056 2519 2827 3664 4112 5038 5654 7328 8224 10076 11308 20152 22616 40304 45232 58853 80608 90464 117706 140677 235412 281354 470824 562708 647383 941648 1125416 1294766 1547447 1883296 2250832 2589532 3094894 4501664 5179064 6189788 10358128 12379576 20716256 24759152 32215033 36153989 49518304 64430066 72307978 128860132 144615956 257720264 289231912 354365363 397693879 515440528 578463824 708730726 795387758 1030881056 1156927648 1417461452 1590775516 2834922904 3181551032 5669845808 6363102064 8279263481 11339691616 12726204128 16558526962 33117053924 66234107848 91071898291 132468215696 182143796582 264936431392 364287593164 728575186328 1457150372656 2914300745312