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144642206243652 = 2231317371474075723
BaseRepresentation
bin100000111000110100100011…
…010100101001101101000100
3200222010122211001021121211220
4200320310203110221231010
5122424304214244244102
61231343413501400340
742316024465223235
oct4070644324515504
9628118731247756
10144642206243652
11420a6462678a07
12142807662690b0
1362929173253b0
1427a0a120a308c
1511ac72084d1bc
hex838d23529b44

144642206243652 has 96 divisors (see below), whose sum is σ = 395240975724672. Its totient is φ = 40755245561856.

The previous prime is 144642206243641. The next prime is 144642206243681. The reversal of 144642206243652 is 256342602246441.

It is a super-2 number, since 2×1446422062436522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 144642206243595 and 144642206243604.

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, 736939738 + ... + 737135985.

It is an arithmetic number, because the mean of its divisors is an integer number (4117093497132).

Almost surely, 2144642206243652 is an apocalyptic number.

144642206243652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144642206243652 is an abundant number, since it is smaller than the sum of its proper divisors (250598769481020).

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

144642206243652 is a wasteful number, since it uses less digits than its factorization.

144642206243652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474075797 (or 1474075795 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 51.

The spelling of 144642206243652 in words is "one hundred forty-four trillion, six hundred forty-two billion, two hundred six million, two hundred forty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 37 39 51 52 68 74 78 102 111 148 156 204 221 222 442 444 481 629 663 884 962 1258 1326 1443 1887 1924 2516 2652 2886 3774 5772 7548 8177 16354 24531 32708 49062 98124 1474075723 2948151446 4422227169 5896302892 8844454338 17688908676 19162984399 25059287291 38325968798 50118574582 54540801751 57488953197 75177861873 76651937596 100237149164 109081603502 114977906394 150355723746 163622405253 218163207004 229955812788 300711447492 325770734783 327244810506 651541469566 654489621012 709030422763 927193629767 977312204349 1303082939132 1418060845526 1854387259534 1954624408698 2127091268289 2781580889301 2836121691052 3708774519068 3909248817396 4254182536578 5563161778602 8508365073156 11126323557204 12053517186971 24107034373942 36160551560913 48214068747884 72321103121826 144642206243652