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114114545235552 = 25319293213524911
BaseRepresentation
bin11001111100100101011100…
…111011101011011001100000
3112222001020120212022100102210
4121330211130323223121200
5104424123042040014202
61042411255351442120
733015334545126021
oct3174453473533140
9488036525270383
10114114545235552
11333a6785909694
12109701b6386340
134b89c5614b184
14202725dd86c48
15d2d5ab83bc6c
hex67c95ceeb660

114114545235552 has 96 divisors (see below), whose sum is σ = 316392673605120. Its totient is φ = 35913181662720.

The previous prime is 114114545235517. The next prime is 114114545235553. The reversal of 114114545235552 is 255532545411411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114545235553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106228024 + ... + 107296887.

It is an arithmetic number, because the mean of its divisors is an integer number (3295757016720).

Almost surely, 2114114545235552 is an apocalyptic number.

114114545235552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114114545235552 is an abundant number, since it is smaller than the sum of its proper divisors (202278128369568).

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

114114545235552 is a wasteful number, since it uses less digits than its factorization.

114114545235552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213525236 (or 213525228 counting only the distinct ones).

The product of its digits is 2400000, while the sum is 48.

The spelling of 114114545235552 in words is "one hundred fourteen trillion, one hundred fourteen billion, five hundred forty-five million, two hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 293 304 456 586 608 879 912 1172 1758 1824 2344 3516 4688 5567 7032 9376 11134 14064 16701 22268 28128 33402 44536 66804 89072 133608 178144 267216 534432 213524911 427049822 640574733 854099644 1281149466 1708199288 2562298932 3416398576 4056973309 5124597864 6832797152 8113946618 10249195728 12170919927 16227893236 20498391456 24341839854 32455786472 48683679708 62562798923 64911572944 97367359416 125125597846 129823145888 187688396769 194734718832 250251195692 375376793538 389469437664 500502391384 750753587076 1001004782768 1188693179537 1501507174152 2002009565536 2377386359074 3003014348304 3566079538611 4754772718148 6006028696608 7132159077222 9509545436296 14264318154444 19019090872592 28528636308888 38038181745184 57057272617776 114114545235552