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242077540458 = 231321931405323
BaseRepresentation
bin1110000101110011110…
…0100010000001101010
3212010211210121012201210
43201130330202001222
512431233322243313
6303113041453550
723326623100035
oct3413474420152
9763753535653
10242077540458
1193734508126
123aabb3412b6
1319a9b927800
14ba0657001c
15646c5389c3
hex385cf2206a

242077540458 has 96 divisors (see below), whose sum is σ = 569658562560. Its totient is φ = 68288650560.

The previous prime is 242077540391. The next prime is 242077540469. The reversal of 242077540458 is 854045770242.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 394585 + ... + 799907.

It is an arithmetic number, because the mean of its divisors is an integer number (5933943360).

Almost surely, 2242077540458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242077540458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284829281280).

242077540458 is an abundant number, since it is smaller than the sum of its proper divisors (327581022102).

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

242077540458 is a wasteful number, since it uses less digits than its factorization.

242077540458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405404 (or 405391 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 48.

The spelling of 242077540458 in words is "two hundred forty-two billion, seventy-seven million, five hundred forty thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 169 186 247 338 403 494 507 589 741 806 1014 1178 1209 1482 1767 2418 3211 3534 5239 6422 7657 9633 10478 15314 15717 19266 22971 31434 45942 99541 199082 298623 405323 597246 810646 1215969 2431938 5269199 7701137 10538398 12565013 15402274 15807597 23103411 25130026 31615194 37695039 46206822 68499587 75390078 100114781 136999174 163345169 200229562 205498761 238735247 300344343 326690338 410997522 477470494 490035507 600688686 716205741 980071014 1301492153 1432411482 2123487197 2602984306 3103558211 3904476459 4246974394 6207116422 6370461591 7808952918 9310674633 12740923182 18621349266 40346256743 80692513486 121038770229 242077540458