Search a number
-
+
114221012232240 = 24325204557775531
BaseRepresentation
bin11001111110001000100110…
…110111000010100000110000
3112222102102101201202011101100
4121332020212313002200300
5104432344113112412430
61042532224133004400
733026124106512204
oct3176104667024060
9488372351664340
10114221012232240
113343794a740051
1210988969a83700
134b96cc26c4774
14202c47dc5ab04
15d3123d6a8960
hex67e226dc2830

114221012232240 has 120 divisors (see below), whose sum is σ = 383594602601808. Its totient is φ = 30458748418560.

The previous prime is 114221012232181. The next prime is 114221012232247. The reversal of 114221012232240 is 42232210122411.

114221012232240 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 210 + 1 + 223 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (114221012232247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146893275 + ... + 147668805.

Almost surely, 2114221012232240 is an apocalyptic number.

114221012232240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114221012232240 is an abundant number, since it is smaller than the sum of its proper divisors (269373590369568).

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

114221012232240 is a wasteful number, since it uses less digits than its factorization.

114221012232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980107 (or 980098 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114221012232240 its reverse (42232210122411), we get a palindrome (156453222354651).

The spelling of 114221012232240 in words is "one hundred fourteen trillion, two hundred twenty-one billion, twelve million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 204557 409114 613671 775531 818228 1022785 1227342 1551062 1636456 1841013 2045570 2326593 2454684 3068355 3102124 3272912 3682026 3877655 4091140 4653186 4909368 6136710 6204248 6979779 7364052 7755310 8182280 9205065 9306372 9818736 11632965 12273420 12408496 13959558 14728104 15510620 16364560 18410130 18612744 23265930 24546840 27919116 29456208 31021240 34898895 36820260 37225488 46531860 49093680 55838232 62042480 69797790 73640520 93063720 111676464 139595580 147281040 186127440 279191160 558382320 158640294767 317280589534 475920884301 634561179068 793201473835 951841768602 1269122358136 1427762652903 1586402947670 1903683537204 2379604421505 2538244716272 2855525305806 3172805895340 3807367074408 4759208843010 5711050611612 6345611790680 7138813264515 7614734148816 9518417686020 11422101223224 12691223581360 14277626529030 19036835372040 22844202446448 28555253058060 38073670744080 57110506116120 114221012232240