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2302140472992 = 253216362217883
BaseRepresentation
bin100001100000000010010…
…000111101111010100000
322011002020010110011122200
4201200002100331322200
5300204240430113432
64521331055533200
7325216121102433
oct41400220757240
98132203404580
102302140472992
1180837230a128
1231220622a200
13139124981a39
147d5d1db581a
153ed3d54aa7c
hex2180243dea0

2302140472992 has 144 divisors (see below), whose sum is σ = 6588770374368. Its totient is φ = 762452974080.

The previous prime is 2302140472903. The next prime is 2302140472997. The reversal of 2302140472992 is 2992740412032.

2302140472992 is a `hidden beast` number, since 2 + 30 + 2 + 140 + 472 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2302140472997) 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, 292034683 + ... + 292042565.

It is an arithmetic number, because the mean of its divisors is an integer number (45755349822).

Almost surely, 22302140472992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302140472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294385187184).

2302140472992 is an abundant number, since it is smaller than the sum of its proper divisors (4286629901376).

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

2302140472992 is a wasteful number, since it uses less digits than its factorization.

2302140472992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14272 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2302140472992 in words is "two trillion, three hundred two billion, one hundred forty million, four hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 6221 7824 7883 11736 12442 15648 15766 18663 23472 23649 24884 31532 37326 46944 47298 49768 55989 63064 70947 74652 94596 99536 111978 126128 141894 149304 189192 199072 223956 252256 283788 298608 378384 447912 567576 597216 756768 895824 1014023 1135152 1284929 1791648 2028046 2270304 2569858 3042069 3854787 4056092 5139716 6084138 7709574 8112184 9126207 10279432 11564361 12168276 15419148 16224368 18252414 20558864 23128722 24336552 30838296 32448736 36504828 41117728 46257444 48673104 49040143 61676592 73009656 92514888 97346208 98080286 123353184 146019312 147120429 185029776 196160572 292038624 294240858 370059552 392321144 441361287 588481716 784642288 882722574 1176963432 1569284576 1765445148 2353926864 3530890296 4707853728 7061780592 7993543309 14123561184 15987086618 23980629927 31974173236 47961259854 63948346472 71941889781 95922519708 127896692944 143883779562 191845039416 255793385888 287767559124 383690078832 575535118248 767380157664 1151070236496 2302140472992