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1444900245540 = 223531978008537
BaseRepresentation
bin10101000001101010110…
…001000001000000100100
312010010112120201121010220
4111001222301001000210
5142133123430324130
63023440014444340
7206250655305003
oct25015261010044
95103476647126
101444900245540
1150786257a334
121b40462036b0
13a633ac5c1bb
144dd0d90cc3a
15278b9e46410
hex1506ac41024

1444900245540 has 96 divisors (see below), whose sum is σ = 4219282228224. Its totient is φ = 369033338880.

The previous prime is 1444900245521. The next prime is 1444900245541. The reversal of 1444900245540 is 455420094441.

It is a junction number, because it is equal to n+sod(n) for n = 1444900245492 and 1444900245501.

It is not an unprimeable number, because it can be changed into a prime (1444900245541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3823849 + ... + 4184688.

It is an arithmetic number, because the mean of its divisors is an integer number (43950856544).

Almost surely, 21444900245540 is an apocalyptic number.

1444900245540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444900245540 is an abundant number, since it is smaller than the sum of its proper divisors (2774381982684).

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

1444900245540 is a wasteful number, since it uses less digits than its factorization.

1444900245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008677 (or 8008675 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 1444900245540 in words is "one trillion, four hundred forty-four billion, nine hundred million, two hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 155 186 194 291 310 372 388 465 485 582 620 930 970 1164 1455 1860 1940 2910 3007 5820 6014 9021 12028 15035 18042 30070 36084 45105 60140 90210 180420 8008537 16017074 24025611 32034148 40042685 48051222 80085370 96102444 120128055 160170740 240256110 248264647 480512220 496529294 744793941 776828089 993058588 1241323235 1489587882 1553656178 2330484267 2482646470 2979175764 3107312356 3723969705 3884140445 4660968534 4965292940 7447939410 7768280890 9321937068 11652421335 14895878820 15536561780 23304842670 24081670759 46609685340 48163341518 72245012277 96326683036 120408353795 144490024554 240816707590 288980049108 361225061385 481633415180 722450122770 1444900245540