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242033434034140 = 225710333150708657
BaseRepresentation
bin110111000010000011001100…
…110110111111111111011100
31011201222011121011102211110201
4313002003030312333333130
5223210433433103043030
62214432342530113244
7101660224060442530
oct6702031466777734
91151864534384421
10242033434034140
1170134891793981
122318b84b41b824
13a508868a63b58
1443aa6a3103bc0
151ceaca20de2ca
hexdc20ccdbffdc

242033434034140 has 96 divisors (see below), whose sum is σ = 588291830590464. Its totient is φ = 81928961326080.

The previous prime is 242033434034137. The next prime is 242033434034159. The reversal of 242033434034140 is 41430434330242.

It is a self number, because there is not a number n which added to its sum of digits gives 242033434034140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20581309 + ... + 30127348.

It is an arithmetic number, because the mean of its divisors is an integer number (6128039901984).

Almost surely, 2242033434034140 is an apocalyptic number.

242033434034140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242033434034140 is an abundant number, since it is smaller than the sum of its proper divisors (346258396556324).

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

242033434034140 is a wasteful number, since it uses less digits than its factorization.

242033434034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50709107 (or 50709105 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 242033434034140 its reverse (41430434330242), we get a palindrome (283463868364382).

The spelling of 242033434034140 in words is "two hundred forty-two trillion, thirty-three billion, four hundred thirty-four million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 331 412 515 662 721 1030 1324 1442 1655 2060 2317 2884 3310 3605 4634 6620 7210 9268 11585 14420 23170 34093 46340 68186 136372 170465 238651 340930 477302 681860 954604 1193255 2386510 4773020 50708657 101417314 202834628 253543285 354960599 507086570 709921198 1014173140 1419842396 1774802995 3549605990 5222991671 7099211980 10445983342 16784565467 20891966684 26114958355 33569130934 36560941697 52229916710 67138261868 73121883394 83922827335 104459833420 117491958269 146243766788 167845654670 182804708485 234983916538 335691309340 365609416970 469967833076 587459791345 731218833940 1174919582690 1728810243101 2349839165380 3457620486202 6915240972404 8644051215505 12101671701707 17288102431010 24203343403414 34576204862020 48406686806828 60508358508535 121016717017070 242033434034140