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142422401313440 = 2554792064190031
BaseRepresentation
bin100000011000100001001100…
…101000110110101010100000
3200200021110010000200101120122
4200120201030220312222200
5122131422034214012230
61222523540430055412
741666451605515643
oct4030411450665240
9620243100611518
10142422401313440
1141420001662806
1213b824ba04a568
1361614b4616451
1427253d1107a5a
15116eb00863be5
hex81884ca36aa0

142422401313440 has 96 divisors (see below), whose sum is σ = 337195452303360. Its totient is φ = 56846641766400.

The previous prime is 142422401313431. The next prime is 142422401313449. The reversal of 142422401313440 is 44313104224241.

It is an interprime number because it is at equal distance from previous prime (142422401313431) and next prime (142422401313449).

It is a self number, because there is not a number n which added to its sum of digits gives 142422401313440.

It is not an unprimeable number, because it can be changed into a prime (142422401313449) by changing a digit.

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, 1581881225 + ... + 1581971255.

It is an arithmetic number, because the mean of its divisors is an integer number (3512452628160).

Almost surely, 2142422401313440 is an apocalyptic number.

142422401313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142422401313440 is an abundant number, since it is smaller than the sum of its proper divisors (194773050989920).

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

142422401313440 is a wasteful number, since it uses less digits than its factorization.

142422401313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111166 (or 111158 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 142422401313440 its reverse (44313104224241), we get a palindrome (186735505537681).

The spelling of 142422401313440 in words is "one hundred forty-two trillion, four hundred twenty-two billion, four hundred one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 479 958 1916 2395 3832 4790 7664 9580 15328 19160 20641 38320 41282 76640 82564 90031 103205 165128 180062 206410 330256 360124 412820 450155 660512 720248 825640 900310 1440496 1651280 1800620 2880992 3302560 3601240 7202480 9887039 14404960 19774078 39548156 43124849 49435195 79096312 86249698 98870390 158192624 172499396 197740780 215624245 316385248 344998792 395481560 431248490 689997584 790963120 862496980 1379995168 1581926240 1724993960 1858329871 3449987920 3716659742 6899975840 7433319484 9291649355 14866638968 18583298710 29733277936 37166597420 59466555872 74333194840 148666389680 297332779360 890140008209 1780280016418 3560560032836 4450700041045 7121120065672 8901400082090 14242240131344 17802800164180 28484480262688 35605600328360 71211200656720 142422401313440