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2874430317144 = 233678321537121
BaseRepresentation
bin101001110101000001011…
…001011110001001011000
3101011210101222202110102110
4221311001121132021120
5334043313130122034
610040254533232320
7414446030364201
oct51650131361130
911153358673373
102874430317144
11a09047a83481
123a5100a926a0
1317b099774809
149d1a1d985a8
154eb85806de9
hex29d4165e258

2874430317144 has 64 divisors (see below), whose sum is σ = 7381202451840. Its totient is φ = 932471147520.

The previous prime is 2874430317119. The next prime is 2874430317181. The reversal of 2874430317144 is 4417130344782.

It is a junction number, because it is equal to n+sod(n) for n = 2874430317093 and 2874430317102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10635097 + ... + 10902024.

It is an arithmetic number, because the mean of its divisors is an integer number (115331288310).

Almost surely, 22874430317144 is an apocalyptic number.

2874430317144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2874430317144 is an abundant number, since it is smaller than the sum of its proper divisors (4506772134696).

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

2874430317144 is a wasteful number, since it uses less digits than its factorization.

2874430317144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537280 (or 21537276 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 2874430317144 in words is "two trillion, eight hundred seventy-four billion, four hundred thirty million, three hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 67 83 134 166 201 249 268 332 402 498 536 664 804 996 1608 1992 5561 11122 16683 22244 33366 44488 66732 133464 21537121 43074242 64611363 86148484 129222726 172296968 258445452 516890904 1442987107 1787581043 2885974214 3575162086 4328961321 5362743129 5771948428 7150324172 8657922642 10725486258 11543896856 14300648344 17315845284 21450972516 34631690568 42901945032 119767929881 239535859762 359303789643 479071719524 718607579286 958143439048 1437215158572 2874430317144