Search a number
-
+
124160454144 = 293250815303
BaseRepresentation
bin111001110100010001…
…0100010111000000000
3102212110221210120122200
41303220202202320000
54013240034013034
6133012153233200
711653545306216
oct1635042427000
9385427716580
10124160454144
1148724380981
1220091102800
13b92912815c
14601bb06cb6
15336a372a99
hex1ce88a2e00

124160454144 has 120 divisors (see below), whose sum is σ = 358473587472. Its totient is φ = 41370869760.

The previous prime is 124160454137. The next prime is 124160454157. The reversal of 124160454144 is 441454061421.

124160454144 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 60 + 454 + 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 = 124160454099 and 124160454108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23410597 + ... + 23415899.

Almost surely, 2124160454144 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 124160454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179236793736).

124160454144 is an abundant number, since it is smaller than the sum of its proper divisors (234313133328).

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

124160454144 is an equidigital number, since it uses as much as digits as its factorization.

124160454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 124160454144 in words is "one hundred twenty-four billion, one hundred sixty million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5081 5303 10162 10606 15243 15909 20324 21212 30486 31818 40648 42424 45729 47727 60972 63636 81296 84848 91458 95454 121944 127272 162592 169696 182916 190908 243888 254544 325184 339392 365832 381816 487776 509088 650368 678784 731664 763632 975552 1018176 1300736 1357568 1463328 1527264 1951104 2036352 2601472 2715136 2926656 3054528 3902208 4072704 5853312 6109056 7804416 8145408 11706624 12218112 23413248 24436224 26944543 53889086 80833629 107778172 161667258 215556344 242500887 323334516 431112688 485001774 646669032 862225376 970003548 1293338064 1724450752 1940007096 2586676128 3448901504 3880014192 5173352256 6897803008 7760028384 10346704512 13795606016 15520056768 20693409024 31040113536 41386818048 62080227072 124160454144