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114304212440 = 235114713142193
BaseRepresentation
bin110101001110100001…
…1111101110111011000
3101221001001112121211122
41222131003331313120
53333043334244230
6124302143544412
711154364526525
oct1523503756730
9357031477748
10114304212440
1144526825680
121a1a02bb108
13aa18162882
145764ac614c
152e8ee0ebe5
hex1a9d0fddd8

114304212440 has 128 divisors (see below), whose sum is σ = 288728478720. Its totient is φ = 40369305600.

The previous prime is 114304212437. The next prime is 114304212469. The reversal of 114304212440 is 44212403411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687984 + ... + 2730176.

It is an arithmetic number, because the mean of its divisors is an integer number (2255691240).

Almost surely, 2114304212440 is an apocalyptic number.

114304212440 is a gapful number since it is divisible by the number (10) 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 114304212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144364239360).

114304212440 is an abundant number, since it is smaller than the sum of its proper divisors (174424266280).

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

114304212440 is a wasteful number, since it uses less digits than its factorization.

114304212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42393 (or 42389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 114304212440 its reverse (44212403411), we get a palindrome (158516615851).

The spelling of 114304212440 in words is "one hundred fourteen billion, three hundred four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 131 188 220 235 262 376 440 470 517 524 655 940 1034 1048 1310 1441 1880 2068 2585 2620 2882 4136 5170 5240 5764 6157 7205 10340 11528 12314 14410 20680 24628 28820 30785 42193 49256 57640 61570 67727 84386 123140 135454 168772 210965 246280 270908 337544 338635 421930 464123 541816 677270 843860 928246 1354540 1687720 1856492 1983071 2320615 2709080 3712984 3966142 4641230 5527283 7932284 9282460 9915355 11054566 15864568 18564920 19830710 21813781 22109132 27636415 39661420 43627562 44218264 55272830 60800113 79322840 87255124 109068905 110545660 121600226 174510248 218137810 221091320 243200452 259782301 304000565 436275620 486400904 519564602 608001130 872551240 1039129204 1216002260 1298911505 2078258408 2432004520 2597823010 2857605311 5195646020 5715210622 10391292040 11430421244 14288026555 22860842488 28576053110 57152106220 114304212440