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144155053042352 = 24114167607491213
BaseRepresentation
bin100000110001101110110110…
…101110101010101010110000
3200220102002101111120220101122
4200301232312232222222300
5122343314022034323402
61230331530033521412
742235600412306312
oct4061566656525260
9626362344526348
10144155053042352
1141a288a6367520
121420226b713268
1362589bc8c9271
1427851db1297b2
15119ec0c9a8ca2
hex831bb6baaab0

144155053042352 has 160 divisors (see below), whose sum is σ = 317303935248384. Its totient is φ = 62868848486400.

The previous prime is 144155053042337. The next prime is 144155053042433. The reversal of 144155053042352 is 253240350551441.

It is a happy number.

144155053042352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1441550530423522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 293221898 + ... + 293713110.

Almost surely, 2144155053042352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144155053042352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158651967624192).

144155053042352 is an abundant number, since it is smaller than the sum of its proper divisors (173148882206032).

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

144155053042352 is a wasteful number, since it uses less digits than its factorization.

144155053042352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491947 (or 491941 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 144155053042352 in words is "one hundred forty-four trillion, one hundred fifty-five billion, fifty-three million, forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 41 44 67 82 88 134 164 176 268 328 451 536 607 656 737 902 1072 1214 1474 1804 2428 2747 2948 3608 4856 5494 5896 6677 7216 9712 10988 11792 13354 21976 24887 26708 30217 40669 43952 49774 53416 60434 81338 99548 106832 120868 162676 199096 241736 273757 325352 398192 447359 483472 491213 547514 650704 894718 982426 1095028 1667429 1789436 1964852 2190056 3334858 3578872 3929704 4380112 5403343 6669716 7157744 7859408 10806686 13339432 18341719 20139733 21613372 26678864 32911271 36683438 40279466 43226744 65822542 73366876 80558932 86453488 131645084 146733752 161117864 221537063 263290168 293467504 298166291 322235728 362023981 443074126 526580336 596332582 724047962 886148252 1192665164 1349362111 1448095924 1772296504 2385330328 2698724222 2896191848 3279829201 3544593008 4770660656 5397448444 5792383696 6559658402 10794896888 12224817931 13119316804 14842983221 19977141497 21589793776 24449635862 26238633608 29685966442 39954282994 48899271724 52477267216 59371932884 79908565988 97798543448 118743865768 134472997241 159817131976 195597086896 219748556467 237487731536 268945994482 319634263952 439497112934 537891988964 819062801377 878994225868 1075783977928 1638125602754 1757988451736 2151567955856 3276251205508 3515976903472 6552502411016 9009690815147 13105004822032 18019381630294 36038763260588 72077526521176 144155053042352