Search a number
-
+
144642026544510 = 235119713134493521
BaseRepresentation
bin100000111000110100011000…
…100111001001110101111110
3200222010122100112010221222010
4200320310120213021311332
5122424303332243411020
61231343344002032050
742316020153630105
oct4070643047116576
9628118315127863
10144642026544510
11420a63801a1320
1214280716048626
1362928b9028441
1427a09d628703c
1511ac70eba3de0
hex838d189c9d7e

144642026544510 has 128 divisors (see below), whose sum is σ = 385523885311488. Its totient is φ = 34438330368000.

The previous prime is 144642026544451. The next prime is 144642026544529. The reversal of 144642026544510 is 15445620246441.

144642026544510 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446420265445102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144642026544510.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13053451 + ... + 21440070.

It is an arithmetic number, because the mean of its divisors is an integer number (3011905353996).

Almost surely, 2144642026544510 is an apocalyptic number.

144642026544510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144642026544510 is an abundant number, since it is smaller than the sum of its proper divisors (240881858766978).

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

144642026544510 is a wasteful number, since it uses less digits than its factorization.

144642026544510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34493770.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 144642026544510 in words is "one hundred forty-four trillion, six hundred forty-two billion, twenty-six million, five hundred forty-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 131 165 194 262 291 330 393 485 582 655 786 970 1067 1310 1441 1455 1965 2134 2882 2910 3201 3930 4323 5335 6402 7205 8646 10670 12707 14410 16005 21615 25414 32010 38121 43230 63535 76242 127070 139777 190605 279554 381210 419331 698885 838662 1397770 2096655 4193310 34493521 68987042 103480563 172467605 206961126 344935210 379428731 517402815 758857462 1034805630 1138286193 1897143655 2276572386 3345871537 3794287310 4518651251 5691430965 6691743074 9037302502 10037614611 11382861930 13555953753 16729357685 20075229222 22593256255 27111907506 33458715370 36804586907 45186512510 49705163761 50188073055 67779768765 73609173814 99410327522 100376146110 110413760721 135559537530 149115491283 184022934535 220827521442 248525818805 298230982566 368045869070 438309171347 497051637610 552068803605 745577456415 876618342694 1104137607210 1314927514041 1491154912830 2191545856735 2629855028082 4383091713470 4821400884817 6574637570205 9642801769634 13149275140410 14464202654451 24107004424085 28928405308902 48214008848170 72321013272255 144642026544510