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242114130240 = 26351913273801
BaseRepresentation
bin1110000101111100100…
…0000111000101000000
3212010221100110011110220
43201133020013011000
512431322204131430
6303120430023040
723330546102553
oct3413710070500
9763840404426
10242114130240
1193753129614
123ab0b647a80
1319aa6399078
14ba0b37669a
156470865110
hex385f207140

242114130240 has 112 divisors (see below), whose sum is σ = 809170969920. Its totient is φ = 61165670400.

The previous prime is 242114130197. The next prime is 242114130253. The reversal of 242114130240 is 42031411242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242114130240.

It is a congruent number.

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, 6618661 + ... + 6655140.

Almost surely, 2242114130240 is an apocalyptic number.

242114130240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242114130240 is an abundant number, since it is smaller than the sum of its proper divisors (567056839680).

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

242114130240 is a wasteful number, since it uses less digits than its factorization.

242114130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273840 (or 13273830 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242114130240 its reverse (42031411242), we get a palindrome (284145541482).

The spelling of 242114130240 in words is "two hundred forty-two billion, one hundred fourteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 13273801 26547602 39821403 53095204 66369005 79642806 106190408 132738010 159285612 199107015 212380816 252202219 265476020 318571224 398214030 424761632 504404438 530952040 637142448 756606657 796428060 849523264 1008808876 1061904080 1261011095 1274284896 1513213314 1592856120 2017617752 2123808160 2522022190 2548569792 3026426628 3185712240 3783033285 4035235504 4247616320 5044044380 6052853256 6371424480 7566066570 8070471008 10088088760 12105706512 12742848960 15132133140 16140942016 20176177520 24211413024 30264266280 40352355040 48422826048 60528532560 80704710080 121057065120 242114130240