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240141141042 = 231116323395803
BaseRepresentation
bin1101111110100110000…
…1110000010000110010
3211221211211220221002220
43133221201300100302
512413302113003132
6302152550021510
723230631006505
oct3375141602062
9757754827086
10240141141042
1192930460630
123a65a947896
13198506bb23a
14b8a130d13c
1563a753aa2c
hex37e9870432

240141141042 has 64 divisors (see below), whose sum is σ = 529426699776. Its totient is φ = 72012447360.

The previous prime is 240141141017. The next prime is 240141141083.

240141141042 is nontrivially palindromic in base 10.

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, 2458713 + ... + 2554515.

It is an arithmetic number, because the mean of its divisors is an integer number (8272292184).

Almost surely, 2240141141042 is an apocalyptic number.

240141141042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240141141042 is an abundant number, since it is smaller than the sum of its proper divisors (289285558734).

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

240141141042 is a wasteful number, since it uses less digits than its factorization.

240141141042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96215.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 240141 and 141042, that added together give a palindrome (381183).

The spelling of 240141141042 in words is "two hundred forty billion, one hundred forty-one million, one hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 163 233 326 466 489 699 978 1398 1793 2563 3586 5126 5379 7689 10758 15378 37979 75958 95803 113937 191606 227874 287409 417769 574818 835538 1053833 1253307 2107666 2506614 3161499 6322998 15615889 22322099 31231778 44644198 46847667 66966297 93695334 133932594 171774779 245543089 343549558 491086178 515324337 736629267 1030648674 1473258534 3638502137 7277004274 10915506411 21831012822 40023523507 80047047014 120070570521 240141141042