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144155015405040 = 2435829172445531
BaseRepresentation
bin100000110001101110110100…
…011111000101110111110000
3200220102002021212202201201010
4200301232310133011313300
5122343313432420430130
61230331522211110520
742235566444351453
oct4061566437056760
9626362255681633
10144155015405040
1141a288870a0002
121420225aba2440
1362589b4b7bc73
1427851d612d49a
15119ec095220b0
hex831bb47c5df0

144155015405040 has 80 divisors (see below), whose sum is σ = 446934453399936. Its totient is φ = 38436700396800.

The previous prime is 144155015404943. The next prime is 144155015405059. The reversal of 144155015405040 is 40504510551441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 144155015405040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34232926 + ... + 38212605.

Almost surely, 2144155015405040 is an apocalyptic number.

144155015405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144155015405040 is an abundant number, since it is smaller than the sum of its proper divisors (302779437994896).

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

144155015405040 is a wasteful number, since it uses less digits than its factorization.

144155015405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72453838 (or 72453832 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 39.

Adding to 144155015405040 its reverse (40504510551441), we get a palindrome (184659525956481).

The spelling of 144155015405040 in words is "one hundred forty-four trillion, one hundred fifty-five billion, fifteen million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8291 16582 24873 33164 41455 49746 66328 82910 99492 124365 132656 165820 198984 248730 331640 397968 497460 663280 994920 1989840 72445531 144891062 217336593 289782124 362227655 434673186 579564248 724455310 869346372 1086682965 1159128496 1448910620 1738692744 2173365930 2897821240 3477385488 4346731860 5795642480 8693463720 17386927440 600645897521 1201291795042 1801937692563 2402583590084 3003229487605 3603875385126 4805167180168 6006458975210 7207750770252 9009688462815 9610334360336 12012917950420 14415501540504 18019376925630 24025835900840 28831003081008 36038753851260 48051671801680 72077507702520 144155015405040