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145310515032 = 23379263433673
BaseRepresentation
bin1000011101010100101…
…1100111111101011000
3111220001221100222212010
42013111023213331120
54340043442440112
6150431004345520
713332633666264
oct2072513477530
9456057328763
10145310515032
1156697aa7741
12241b42452a0
1310919b60797
147066a3d0a4
153ba706263c
hex21d52e7f58

145310515032 has 128 divisors (see below), whose sum is σ = 370676275200. Its totient is φ = 47461220352.

The previous prime is 145310515027. The next prime is 145310515081. The reversal of 145310515032 is 230515013541.

It is a super-2 number, since 2×1453105150322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 215914248 + ... + 215914920.

It is an arithmetic number, because the mean of its divisors is an integer number (2895908400).

Almost surely, 2145310515032 is an apocalyptic number.

145310515032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145310515032 is an abundant number, since it is smaller than the sum of its proper divisors (225365760168).

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

145310515032 is a wasteful number, since it uses less digits than its factorization.

145310515032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 145310515032 its reverse (230515013541), we get a palindrome (375825528573).

The spelling of 145310515032 in words is "one hundred forty-five billion, three hundred ten million, five hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 263 316 433 474 526 632 673 789 866 948 1052 1299 1346 1578 1732 1896 2019 2104 2598 2692 3156 3464 4038 5196 5384 6312 8076 10392 16152 20777 34207 41554 53167 62331 68414 83108 102621 106334 113879 124662 136828 159501 166216 176999 205242 212668 227758 249324 273656 291409 319002 341637 353998 410484 425336 455516 498648 530997 582818 638004 683274 707996 820968 874227 911032 1061994 1165636 1276008 1366548 1415992 1748454 2123988 2331272 2733096 3496908 4247976 6993816 8996441 13982921 17992882 23021311 26989323 27965842 35985764 41948763 46042622 53978646 55931684 69063933 71971528 76640567 83897526 92085244 107957292 111863368 138127866 153281134 167795052 184170488 215914584 229921701 276255732 306562268 335590104 459843402 552511464 613124536 919686804 1839373608 6054604793 12109209586 18163814379 24218419172 36327628758 48436838344 72655257516 145310515032