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120414423440 = 24531338914327
BaseRepresentation
bin111000000100101000…
…0100100100110010000
3102111210212222111120202
41300021100210212100
53433102043022230
6131152334554332
711461660466003
oct1601120444620
9374725874522
10120414423440
1147081891633
121b4066689a8
13b480008a3c
145b843c353a
1531eb567a45
hex1c09424990

120414423440 has 80 divisors (see below), whose sum is σ = 289100067840. Its totient is φ = 46595028480.

The previous prime is 120414423431. The next prime is 120414423487. The reversal of 120414423440 is 44324414021.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397557 + ... + 8411883.

It is an arithmetic number, because the mean of its divisors is an integer number (3613750848).

Almost surely, 2120414423440 is an apocalyptic number.

120414423440 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 120414423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144550033920).

120414423440 is an abundant number, since it is smaller than the sum of its proper divisors (168685644400).

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

120414423440 is a wasteful number, since it uses less digits than its factorization.

120414423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 120414423440 its reverse (44324414021), we get a palindrome (164738837461).

The spelling of 120414423440 in words is "one hundred twenty billion, four hundred fourteen million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 3389 6778 13556 14327 16945 27112 28654 33890 54224 57308 67780 71635 105059 114616 135560 143270 210118 229232 271120 286540 420236 444137 525295 573080 840472 888274 1050590 1146160 1680944 1776548 2101180 2220685 3553096 4202360 4441370 7106192 8404720 8882740 17765480 35530960 48554203 97108406 194216812 242771015 388433624 485542030 776867248 971084060 1505180293 1942168120 3010360586 3884336240 6020721172 7525901465 12041442344 15051802930 24082884688 30103605860 60207211720 120414423440