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145358787120 = 24351921677733
BaseRepresentation
bin1000011101100000001…
…1110001001000110000
3111220012022012110201020
42013120003301020300
54340143322141440
6150435451135440
713334061206241
oct2073003611060
9456168173636
10145358787120
1156712278228
1224208444580
1310926b62551
14706d206cc8
153bab3ea3d0
hex21d80f1230

145358787120 has 120 divisors (see below), whose sum is σ = 475577190576. Its totient is φ = 36722198016.

The previous prime is 145358787103. The next prime is 145358787127. The reversal of 145358787120 is 21787853541.

145358787120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1453587871202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145358787127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752227 + ... + 925506.

Almost surely, 2145358787120 is an apocalyptic number.

145358787120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145358787120 is an abundant number, since it is smaller than the sum of its proper divisors (330218403456).

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

145358787120 is a wasteful number, since it uses less digits than its factorization.

145358787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677787 (or 1677762 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 145358787120 in words is "one hundred forty-five billion, three hundred fifty-eight million, seven hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 361 380 456 570 722 760 912 1083 1140 1444 1520 1805 2166 2280 2888 3610 4332 4560 5415 5776 7220 8664 10830 14440 17328 21660 28880 43320 86640 1677733 3355466 5033199 6710932 8388665 10066398 13421864 16777330 20132796 25165995 26843728 31876927 33554660 40265592 50331990 63753854 67109320 80531184 95630781 100663980 127507708 134218640 159384635 191261562 201327960 255015416 318769270 382523124 402655920 478153905 510030832 605661613 637538540 765046248 956307810 1211323226 1275077080 1530092496 1816984839 1912615620 2422646452 2550154160 3028308065 3633969678 3825231240 4845292904 6056616130 7267939356 7650462480 9084924195 9690585808 12113232260 14535878712 18169848390 24226464520 29071757424 36339696780 48452929040 72679393560 145358787120