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242100024113442 = 231117337640283153
BaseRepresentation
bin110111000011000001001101…
…111011111111100100100010
31011202012112110221102100112010
4313003001031323333210202
5223213031322133112232
62214523114330413350
7101665102200665445
oct6703011573774442
91152175427370463
10242100024113442
1170160053094070
12231a0734291256
13a511c1b8c0c41
1443ad9bccc965c
151cec89d1880cc
hexdc304deff922

242100024113442 has 64 divisors (see below), whose sum is σ = 560949510086784. Its totient is φ = 68843244503040.

The previous prime is 242100024113407. The next prime is 242100024113473. The reversal of 242100024113442 is 244311420001242.

It is a super-4 number, since 4×2421000241134424 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319763463 + ... + 320519690.

It is an arithmetic number, because the mean of its divisors is an integer number (8764836095106).

Almost surely, 2242100024113442 is an apocalyptic number.

242100024113442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242100024113442 is an abundant number, since it is smaller than the sum of its proper divisors (318849485973342).

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

242100024113442 is a wasteful number, since it uses less digits than its factorization.

242100024113442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640283523.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 242100024113442 its reverse (244311420001242), we get a palindrome (486411444114684).

The spelling of 242100024113442 in words is "two hundred forty-two trillion, one hundred billion, twenty-four million, one hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 337 374 561 674 1011 1122 2022 3707 5729 7414 11121 11458 17187 22242 34374 63019 126038 189057 378114 640283153 1280566306 1920849459 3841698918 7043114683 10884813601 14086229366 21129344049 21769627202 32654440803 42258688098 65308881606 119732949611 215775422561 239465899222 359198848833 431550845122 647326267683 718397697666 1294652535366 2373529648171 3668182183537 4747059296342 7120588944513 7336364367074 11004546550611 14241177889026 22009093101222 40350004018907 80700008037814 121050012056721 242100024113442