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114555350200144 = 2473135111939707
BaseRepresentation
bin11010000010111111111110…
…111101001010111101010000
3120000121101101022121200202111
4122002333332331022331100
5110003333324122401034
61043350000143555104
733062231240402260
oct3202777675127520
9500541338550674
10114555350200144
1133556718810917
1210a21716bbba94
134bbc6a553c579
1420407195b57a0
15d39caa725364
hex682ffef4af50

114555350200144 has 80 divisors (see below), whose sum is σ = 261848536621056. Its totient is φ = 47510031830400.

The previous prime is 114555350200139. The next prime is 114555350200211. The reversal of 114555350200144 is 441002053555411.

It is a junction number, because it is equal to n+sod(n) for n = 114555350200097 and 114555350200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121435539 + ... + 122375245.

Almost surely, 2114555350200144 is an apocalyptic number.

114555350200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114555350200144 is an abundant number, since it is smaller than the sum of its proper divisors (147293186420912).

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

114555350200144 is a wasteful number, since it uses less digits than its factorization.

114555350200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974864 (or 974858 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 114555350200144 in words is "one hundred fourteen trillion, five hundred fifty-five billion, three hundred fifty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 35111 70222 140444 245777 280888 491554 561776 939707 983108 1088441 1879414 1966216 2176882 3758828 3932432 4353764 6577949 7517656 7619087 8707528 13155898 15035312 15238174 17415056 26311796 29130917 30476348 52623592 58261834 60952696 105247184 116523668 121905392 203916419 233047336 407832838 466094672 815665676 1631331352 3262662704 32994052477 65988104954 131976209908 230958367339 263952419816 461916734678 527904839632 923833469356 1022815626787 1847666938712 2045631253574 3695333877424 4091262507148 7159709387509 8182525014296 14319418775018 16365050028592 28638837550036 57277675100072 114555350200144