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114122162760 = 23358291147187
BaseRepresentation
bin110101001001000110…
…1100000001001001000
3101220120100222112121220
41222102031200021020
53332210233202020
6124232122002040
711150024243454
oct1522215401110
9356510875556
10114122162760
1144442a92aa1
121a14b346320
13a9b9521a78
145748857664
152e7de4e240
hex1a92360248

114122162760 has 64 divisors (see below), whose sum is σ = 342779774400. Its totient is φ = 30395840256.

The previous prime is 114122162731. The next prime is 114122162767. The reversal of 114122162760 is 67261221411.

It is not an unprimeable number, because it can be changed into a prime (114122162767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474114 + ... + 673073.

It is an arithmetic number, because the mean of its divisors is an integer number (5355933975).

Almost surely, 2114122162760 is an apocalyptic number.

114122162760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122162760 is an abundant number, since it is smaller than the sum of its proper divisors (228657611640).

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

114122162760 is a wasteful number, since it uses less digits than its factorization.

114122162760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148030 (or 1148026 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 114122162760 in words is "one hundred fourteen billion, one hundred twenty-two million, one hundred sixty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 829 1658 2487 3316 4145 4974 6632 8290 9948 12435 16580 19896 24870 33160 49740 99480 1147187 2294374 3441561 4588748 5735935 6883122 9177496 11471870 13766244 17207805 22943740 27532488 34415610 45887480 68831220 137662440 951018023 1902036046 2853054069 3804072092 4755090115 5706108138 7608144184 9510180230 11412216276 14265270345 19020360460 22824432552 28530540690 38040720920 57061081380 114122162760