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42331422044400 = 2435241860394757
BaseRepresentation
bin10011010000000000011010…
…10111111011000011110000
312112212211210120211010120220
421220000031113323003300
521022024223020410100
6230010441541533040
711626226046331146
oct1150001527730360
9175784716733526
1042331422044400
1112540723191195
1248b8143714180
131a80ab381c0c8
14a64bcd325596
154d620dc7daa0
hex26800d5fb0f0

42331422044400 has 120 divisors (see below), whose sum is σ = 138909012889584. Its totient is φ = 11013052876800.

The previous prime is 42331422044369. The next prime is 42331422044411. The reversal of 42331422044400 is 444022413324.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×423314220444002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430148179 + ... + 430246578.

Almost surely, 242331422044400 is an apocalyptic number.

42331422044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42331422044400 is an abundant number, since it is smaller than the sum of its proper divisors (96577590845184).

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

42331422044400 is a wasteful number, since it uses less digits than its factorization.

42331422044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860394819 (or 860394808 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 42331422044400 its reverse (444022413324), we get a palindrome (42775444457724).

The spelling of 42331422044400 in words is "forty-two trillion, three hundred thirty-one billion, four hundred twenty-two million, forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 860394757 1720789514 2581184271 3441579028 4301973785 5162368542 6883158056 8603947570 10324737084 12905921355 13766316112 17207895140 20649474168 21509868925 25811842710 34415790280 35276185037 41298948336 43019737850 51623685420 64529606775 68831580560 70552370074 86039475700 103247370840 105828555111 129059213550 141104740148 172078951400 176380925185 206494741680 211657110222 258118427100 282209480296 344157902800 352761850370 423314220444 516236854200 529142775555 564418960592 705523700740 846628440888 881904625925 1032473708400 1058285551110 1411047401480 1693256881776 1763809251850 2116571102220 2645713877775 2822094802960 3527618503700 4233142204440 5291427755550 7055237007400 8466284408880 10582855511100 14110474014800 21165711022200 42331422044400