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120541423440 = 24355310193827
BaseRepresentation
bin111000001000011010…
…1000010011101010000
3102112010201221202211110
41300100311002131100
53433332101022230
6131213113013320
711465062123254
oct1602065023520
9375121852743
10120541423440
1147137544609
121b4410b4240
13b4a0413b79
145b97202264
1532077a24b0
hex1c10d42750

120541423440 has 160 divisors (see below), whose sum is σ = 384502640256. Its totient is φ = 31225292800.

The previous prime is 120541423427. The next prime is 120541423447. The reversal of 120541423440 is 44324145021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120541423398 and 120541423407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120541423447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237807 + ... + 1331633.

Almost surely, 2120541423440 is an apocalyptic number.

120541423440 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 120541423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192251320128).

120541423440 is an abundant number, since it is smaller than the sum of its proper divisors (263961216816).

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

120541423440 is a wasteful number, since it uses less digits than its factorization.

120541423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93997 (or 93991 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 120541423440 its reverse (44324145021), we get a palindrome (164865568461).

The spelling of 120541423440 in words is "one hundred twenty billion, five hundred forty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 101 106 120 159 202 212 240 265 303 318 404 424 505 530 606 636 795 808 848 1010 1060 1212 1272 1515 1590 1616 2020 2120 2424 2544 3030 3180 4040 4240 4848 5353 6060 6360 8080 10706 12120 12720 16059 21412 24240 26765 32118 42824 53530 64236 80295 85648 93827 107060 128472 160590 187654 214120 256944 281481 321180 375308 428240 469135 562962 642360 750616 938270 1125924 1284720 1407405 1501232 1876540 2251848 2814810 3753080 4503696 4972831 5629620 7506160 9476527 9945662 11259240 14918493 18953054 19891324 22518480 24864155 28429581 29836986 37906108 39782648 47382635 49728310 56859162 59673972 74592465 75812216 79565296 94765270 99456620 113718324 119347944 142147905 149184930 151624432 189530540 198913240 227436648 238695888 284295810 298369860 379061080 397826480 454873296 502255931 568591620 596739720 758122160 1004511862 1137183240 1193479440 1506767793 2009023724 2274366480 2511279655 3013535586 4018047448 5022559310 6027071172 7533838965 8036094896 10045118620 12054142344 15067677930 20090237240 24108284688 30135355860 40180474480 60270711720 120541423440