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4274313861400 = 2352112383181527
BaseRepresentation
bin111110001100110000111…
…101011001100100011000
3120010121202021121200122121
4332030300331121210120
51030012243322031100
613031332004031024
7620544324234142
oct76146075314430
916117667550577
104274313861400
1113a87a981a850
12590483092474
132500b21c5a5b
1410ac40d2bc92
15762b861151a
hex3e330f59918

4274313861400 has 96 divisors (see below), whose sum is σ = 10841802151680. Its totient is φ = 1554211664000.

The previous prime is 4274313861383. The next prime is 4274313861401. The reversal of 4274313861400 is 41683134724.

4274313861400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274313861401) 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, 52387437 + ... + 52468963.

It is an arithmetic number, because the mean of its divisors is an integer number (112935439080).

Almost surely, 24274313861400 is an apocalyptic number.

4274313861400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4274313861400 is an abundant number, since it is smaller than the sum of its proper divisors (6567488290280).

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

4274313861400 is a wasteful number, since it uses less digits than its factorization.

4274313861400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105385 (or 105376 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 4274313861400 in words is "four trillion, two hundred seventy-four billion, three hundred thirteen million, eight hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 23831 47662 81527 95324 119155 163054 190648 238310 262141 326108 407635 476620 524282 595775 652216 815270 896797 953240 1048564 1191550 1310705 1630540 1793594 2038175 2097128 2383100 2621410 3261080 3587188 4076350 4483985 4766200 5242820 6553525 7174376 8152700 8967970 10485640 13107050 16305400 17935940 22419925 26214100 35871880 44839850 52428200 89679700 179359400 1942869937 3885739874 7771479748 9714349685 15542959496 19428699370 21371569307 38857398740 42743138614 48571748425 77714797480 85486277228 97143496850 106857846535 170972554456 194286993700 213715693070 388573987400 427431386140 534289232675 854862772280 1068578465350 2137156930700 4274313861400