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144431433411320 = 23511372239775937
BaseRepresentation
bin100000110101110000010000…
…010010000110101011111000
3200221101111202221000100120102
4200311300100102012223320
5122412331033423130240
61231102515020214532
742264553363551626
oct4065602022065370
9627344687010512
10144431433411320
11420250329283a0
121424794299a448
136278a97188923
142794739366516
1511a6ed675d815
hex835c10486af8

144431433411320 has 96 divisors (see below), whose sum is σ = 364353924347280. Its totient is φ = 51101047480320.

The previous prime is 144431433411281. The next prime is 144431433411347. The reversal of 144431433411320 is 23114334134441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119285609 + ... + 120490328.

Almost surely, 2144431433411320 is an apocalyptic number.

144431433411320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144431433411320 is an abundant number, since it is smaller than the sum of its proper divisors (219922490935960).

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

144431433411320 is a wasteful number, since it uses less digits than its factorization.

144431433411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239776033 (or 239775992 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 144431433411320 its reverse (23114334134441), we get a palindrome (167545767545761).

The spelling of 144431433411320 in words is "one hundred forty-four trillion, four hundred thirty-one billion, four hundred thirty-three million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1369 1480 1628 2035 2738 3256 4070 5476 6845 8140 10952 13690 15059 16280 27380 30118 54760 60236 75295 120472 150590 301180 602360 239775937 479551874 959103748 1198879685 1918207496 2397759370 2637535307 4795518740 5275070614 8871709669 9591037480 10550141228 13187676535 17743419338 21100282456 26375353070 35486838676 44358548345 52750706140 70973677352 88717096690 97588806359 105501412280 177434193380 195177612718 328253257753 354868386760 390355225436 487944031795 656506515506 780710450872 975888063590 1313013031012 1641266288765 1951776127180 2626026062024 3282532577530 3610785835283 3903552254360 6565065155060 7221571670566 13130130310120 14443143341132 18053929176415 28886286682264 36107858352830 72215716705660 144431433411320