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144104411431440 = 24325404671494587
BaseRepresentation
bin100000110000111111101100…
…010000010000001000010000
3200220020020200012110112001200
4200300333230100100020100
5122342001313311301230
61230252352552231200
742232125436566645
oct4060775420201020
9626206605415050
10144104411431440
1141a09379505719
12141b449799b500
136253cabc51b15
1427829954dddcc
15119d746b27160
hex830fec410210

144104411431440 has 120 divisors (see below), whose sum is σ = 483952822798848. Its totient is φ = 38427670391040.

The previous prime is 144104411431369. The next prime is 144104411431447. The reversal of 144104411431440 is 44134114401441.

144104411431440 is a `hidden beast` number, since 1 + 44 + 104 + 41 + 1 + 4 + 31 + 440 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144104411431395 and 144104411431404.

It is not an unprimeable number, because it can be changed into a prime (144104411431447) 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, 291115827 + ... + 291610413.

Almost surely, 2144104411431440 is an apocalyptic number.

144104411431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104411431440 is an abundant number, since it is smaller than the sum of its proper divisors (339848411367408).

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

144104411431440 is a wasteful number, since it uses less digits than its factorization.

144104411431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899277 (or 899268 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 144104411431440 its reverse (44134114401441), we get a palindrome (188238525832881).

The spelling of 144104411431440 in words is "one hundred forty-four trillion, one hundred four billion, four hundred eleven million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 404671 494587 809342 989174 1214013 1483761 1618684 1978348 2023355 2428026 2472935 2967522 3237368 3642039 3956696 4046710 4451283 4856052 4945870 5935044 6070065 6474736 7284078 7418805 7913392 8093420 8902566 9712104 9891740 11870088 12140130 14568156 14837610 16186840 17805132 18210195 19424208 19783480 22256415 23740176 24280260 29136312 29675220 32373680 35610264 36420390 39566960 44512830 48560520 58272624 59350440 71220528 72840780 89025660 97121040 118700880 145681560 178051320 291363120 356102640 200145015877 400290031754 600435047631 800580063508 1000725079385 1200870095262 1601160127016 1801305142893 2001450158770 2401740190524 3002175238155 3202320254032 3602610285786 4002900317540 4803480381048 6004350476310 7205220571572 8005800635080 9006525714465 9606960762096 12008700952620 14410441143144 16011601270160 18013051428930 24017401905240 28820882286288 36026102857860 48034803810480 72052205715720 144104411431440