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114140016 = 243531947
BaseRepresentation
bin1101100110110…
…10001101110000
321221202220200000
412303122031300
5213204440031
615154230000
72554113504
oct663321560
9257686600
10114140016
115947a0a1
1232285300
131a854893
1411232304
15a0493e6
hex6cda370

114140016 has 120 divisors (see below), whose sum is σ = 342311424. Its totient is φ = 36780480.

The previous prime is 114140009. The next prime is 114140021. The reversal of 114140016 is 610041411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120055 + ... + 121001.

Almost surely, 2114140016 is an apocalyptic number.

114140016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114140016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171155712).

114140016 is an abundant number, since it is smaller than the sum of its proper divisors (228171408).

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

114140016 is an equidigital number, since it uses as much as digits as its factorization.

114140016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 114140016 is about 10683.6330899184. The cubic root of 114140016 is about 485.0791892518.

Adding to 114140016 its reverse (610041411), we get a palindrome (724181427).

The spelling of 114140016 in words is "one hundred fourteen million, one hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 947 972 1116 1296 1488 1674 1894 1944 2232 2511 2841 3348 3788 3888 4464 5022 5682 6696 7533 7576 8523 10044 11364 13392 15066 15152 17046 20088 22728 25569 29357 30132 34092 40176 45456 51138 58714 60264 68184 76707 88071 102276 117428 120528 136368 153414 176142 204552 230121 234856 264213 306828 352284 409104 460242 469712 528426 613656 704568 792639 920484 1056852 1227312 1409136 1585278 1840968 2113704 2377917 3170556 3681936 4227408 4755834 6341112 7133751 9511668 12682224 14267502 19023336 28535004 38046672 57070008 114140016