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124142141001004 = 2271723113100347371
BaseRepresentation
bin11100001110100000011000…
…001101110100110100101100
3121021112212120020211201212021
4130032200120031310310230
5112232421101044013004
61120010040125515524
735101654660601110
oct3416403015646454
9537485506751767
10124142141001004
1136612428241735
1211b0b6b3a12ba4
13543672752c599
1422927240bb740
15e5434e297d54
hex70e818374d2c

124142141001004 has 96 divisors (see below), whose sum is σ = 276746813070336. Its totient is φ = 47473136578560.

The previous prime is 124142141000993. The next prime is 124142141001007. The reversal of 124142141001004 is 400100141241421.

It is a super-2 number, since 2×1241421410010042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 124142141001004.

It is not an unprimeable number, because it can be changed into a prime (124142141001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48936562 + ... + 51410809.

It is an arithmetic number, because the mean of its divisors is an integer number (2882779302816).

Almost surely, 2124142141001004 is an apocalyptic number.

124142141001004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

124142141001004 is an abundant number, since it is smaller than the sum of its proper divisors (152604672069332).

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

124142141001004 is a wasteful number, since it uses less digits than its factorization.

124142141001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100347535 (or 100347533 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 124142141001004 its reverse (400100141241421), we get a palindrome (524242282242425).

The spelling of 124142141001004 in words is "one hundred twenty-four trillion, one hundred forty-two billion, one hundred forty-one million, one thousand, four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 113 119 161 226 238 322 391 452 476 644 782 791 1564 1582 1921 2599 2737 3164 3842 5198 5474 7684 10396 10948 13447 18193 26894 36386 44183 53788 72772 88366 176732 309281 618562 1237124 100347371 200694742 401389484 702431597 1404863194 1705905307 2307989533 2809726388 3411810614 4615979066 6823621228 9231958132 11339252923 11941337149 16155926731 22678505846 23882674298 32311853462 39235822061 45357011692 47765348596 64623706924 78471644122 79374770461 156943288244 158749540922 192767299691 260802817229 274650754427 317499081844 385534599382 521605634458 549301508854 771069198764 1043211268916 1098603017708 1349371097837 1825619720603 2698742195674 3651239441206 4433647892893 5397484391348 7302478882412 8867295785786 17734591571572 31035535250251 62071070500502 124142141001004