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2319530047040 = 26523893541051
BaseRepresentation
bin100001110000001110110…
…000111011011001000000
322012202010001000001200202
4201300032300323121000
5301000344143001130
64533324414504332
7326403055043153
oct41601660733100
98182101001622
102319530047040
11814786272528
12315659b050a8
1313a9665a601b
14803a1703c9a
154050a027145
hex21c0ec3b640

2319530047040 has 112 divisors (see below), whose sum is σ = 5828288307840. Its totient is φ = 877500518400.

The previous prime is 2319530047033. The next prime is 2319530047139. The reversal of 2319530047040 is 407400359132.

It is a super-3 number, since 3×23195300470403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2319530046985 and 2319530047003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115486 + ... + 2425565.

Almost surely, 22319530047040 is an apocalyptic number.

2319530047040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2319530047040 is an abundant number, since it is smaller than the sum of its proper divisors (3508758260800).

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

2319530047040 is a wasteful number, since it uses less digits than its factorization.

2319530047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541180 (or 3541170 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 2319530047040 in words is "two trillion, three hundred nineteen billion, five hundred thirty million, forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 89 92 115 160 178 184 230 320 356 368 445 460 712 736 890 920 1424 1472 1780 1840 2047 2848 3560 3680 4094 5696 7120 7360 8188 10235 14240 16376 20470 28480 32752 40940 65504 81880 131008 163760 327520 655040 3541051 7082102 14164204 17705255 28328408 35410510 56656816 70821020 81444173 113313632 141642040 162888346 226627264 283284080 315153539 325776692 407220865 566568160 630307078 651553384 814441730 1133136320 1260614156 1303106768 1575767695 1628883460 2521228312 2606213536 3151535390 3257766920 5042456624 5212427072 6303070780 6515533840 7248531397 10084913248 12606141560 13031067680 14497062794 20169826496 25212283120 26062135360 28994125588 36242656985 50424566240 57988251176 72485313970 100849132480 115976502352 144970627940 231953004704 289941255880 463906009408 579882511760 1159765023520 2319530047040