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114150465 = 375111373
BaseRepresentation
bin1101100110111…
…00110001000001
321221210110000000
412303130301001
5213210303330
615154350213
72554156122
oct663346101
9257713000
10114150465
1159486a30
123228b369
131a859570
1411236049
15a04c560
hex6cdcc41

114150465 has 128 divisors (see below), whose sum is σ = 244661760. Its totient is φ = 50388480.

The previous prime is 114150389. The next prime is 114150493. The reversal of 114150465 is 564051411.

It is not a de Polignac number, because 114150465 - 28 = 114150209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1563669 + ... + 1563741.

It is an arithmetic number, because the mean of its divisors is an integer number (1911420).

Almost surely, 2114150465 is an apocalyptic number.

114150465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114150465 is an abundant number, since it is smaller than the sum of its proper divisors (130511295).

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

114150465 is an equidigital number, since it uses as much as digits as its factorization.

114150465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114150465 is about 10684.1220977673. The cubic root of 114150465 is about 485.0939910656.

The spelling of 114150465 in words is "one hundred fourteen million, one hundred fifty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 73 81 99 117 135 143 165 195 219 243 297 351 365 405 429 495 585 657 715 729 803 891 949 1053 1095 1215 1287 1485 1755 1971 2145 2187 2409 2673 2847 3159 3285 3645 3861 4015 4455 4745 5265 5913 6435 7227 8019 8541 9477 9855 10439 10935 11583 12045 13365 14235 15795 17739 19305 21681 24057 25623 28431 29565 31317 34749 36135 40095 42705 47385 52195 53217 57915 65043 76869 88695 93951 104247 108405 120285 128115 142155 156585 159651 173745 195129 230607 266085 281853 312741 325215 384345 469755 521235 585387 691821 798255 845559 975645 1153035 1409265 1563705 1756161 2075463 2536677 2926935 3459105 4227795 7610031 8780805 10377315 12683385 22830093 38050155 114150465