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114754425435 = 335132311932383
BaseRepresentation
bin110101011011111100…
…1011001001001011011
3101222012102200210222000
41222313321121021123
53340004113103220
6124414545332043
711201502344046
oct1526771311133
9358172623860
10114754425435
1144737977331
121a2a7037023
13aa8a5054b0
1457a87dbc5d
152eb96e1390
hex1ab7e5925b

114754425435 has 128 divisors (see below), whose sum is σ = 229541437440. Its totient is φ = 53970250752.

The previous prime is 114754425433. The next prime is 114754425469. The reversal of 114754425435 is 534524457411.

It is a happy number.

114754425435 is a `hidden beast` number, since 1 + 1 + 47 + 544 + 25 + 43 + 5 = 666.

It is not a de Polignac number, because 114754425435 - 21 = 114754425433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114754425433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48154254 + ... + 48156636.

It is an arithmetic number, because the mean of its divisors is an integer number (1793292480).

Almost surely, 2114754425435 is an apocalyptic number.

114754425435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114754425435 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

114754425435 is a wasteful number, since it uses less digits than its factorization.

114754425435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3620 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The spelling of 114754425435 in words is "one hundred fourteen billion, seven hundred fifty-four million, four hundred twenty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 585 621 897 1035 1193 1495 1755 2383 2691 3105 3579 4485 5965 7149 8073 10737 11915 13455 15509 17895 21447 27439 30979 32211 35745 40365 46527 53685 54809 64341 77545 82317 92937 107235 137195 139581 154895 161055 164427 232635 246951 274045 278811 321705 356707 411585 418743 464685 493281 697905 712517 740853 822135 836433 1070121 1234755 1394055 1479843 1783535 2093715 2137551 2466405 2842919 3210363 3562585 3704265 4182165 5350605 6412653 7399215 8528757 9631089 10687755 14214595 16051815 19237959 25586271 32063265 36957947 42643785 48155445 65387137 76758813 96189795 110873841 127931355 184789735 196161411 326935685 332621523 383794065 554369205 588484233 850032781 980807055 997864569 1663107615 1765452699 2550098343 2942421165 4250163905 4989322845 7650295029 8827263495 12750491715 22950885087 38251475145 114754425435