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124400144421144 = 23325348136773243
BaseRepresentation
bin11100010010010000101010…
…011010110001000100011000
3121022110112111221210110102200
4130102100222122301010120
5112301132443432434034
61120324345402330200
735126420355514224
oct3422205232610430
9538415457713380
10124400144421144
1136701894469999
1211b516b87b9960
135454b6375b227
1422a0ddb807784
15e5adeea35a99
hex71242a6b1118

124400144421144 has 96 divisors (see below), whose sum is σ = 343345356366480. Its totient is φ = 40675864948992.

The previous prime is 124400144421131. The next prime is 124400144421181. The reversal of 124400144421144 is 441124441004421.

124400144421144 is a `hidden beast` number, since 1 + 2 + 440 + 0 + 14 + 44 + 21 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 124400144421099 and 124400144421108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14979787 + ... + 21753029.

Almost surely, 2124400144421144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124400144421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171672678183240).

124400144421144 is an abundant number, since it is smaller than the sum of its proper divisors (218945211945336).

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

124400144421144 is a wasteful number, since it uses less digits than its factorization.

124400144421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778121 (or 6778114 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 124400144421144 its reverse (441124441004421), we get a palindrome (565524585425565).

The spelling of 124400144421144 in words is "one hundred twenty-four trillion, four hundred billion, one hundred forty-four million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 4813 9626 14439 19252 28878 38504 43317 57756 86634 115512 173268 255089 346536 510178 765267 1020356 1530534 2040712 2295801 3061068 4591602 6122136 6773243 9183204 13546486 18366408 20319729 27092972 40639458 54185944 60959187 81278916 121918374 162557832 243836748 358981879 487673496 717963758 1076945637 1435927516 2153891274 2871855032 3230836911 4307782548 6461673822 8615565096 12923347644 25846695288 32599618559 65199237118 97798855677 130398474236 195597711354 260796948472 293396567031 391195422708 586793134062 782390845416 1173586268124 1727779783627 2347172536248 3455559567254 5183339350881 6911119134508 10366678701762 13822238269016 15550018052643 20733357403524 31100036105286 41466714807048 62200072210572 124400144421144