Search a number
-
+
124944462336 = 293139761769
BaseRepresentation
bin111010001011101000…
…1010011001000000000
3102221111121001022201010
41310113101103020000
54021341240243321
6133222041240520
712012145256331
oct1642721231000
9387447038633
10124944462336
1148a96989931
122026b793140
13ba2269c125
146093cac288
1533b40db676
hex1d17453200

124944462336 has 160 divisors (see below), whose sum is σ = 336131611200. Its totient is φ = 41240494080.

The previous prime is 124944462299. The next prime is 124944462341. The reversal of 124944462336 is 633264449421.

It is a super-2 number, since 2×1249444623362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162476160 + ... + 162476928.

It is an arithmetic number, because the mean of its divisors is an integer number (2100822570).

Almost surely, 2124944462336 is an apocalyptic number.

124944462336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124944462336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168065805600).

124944462336 is an abundant number, since it is smaller than the sum of its proper divisors (211187148864).

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

124944462336 is an equidigital number, since it uses as much as digits as its factorization.

124944462336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 124944462336 in words is "one hundred twenty-four billion, nine hundred forty-four million, four hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 761 768 769 834 1112 1522 1536 1538 1668 2224 2283 2307 3044 3076 3336 4448 4566 4614 6088 6152 6672 8896 9132 9228 12176 12304 13344 17792 18264 18456 24352 24608 26688 35584 36528 36912 48704 49216 53376 71168 73056 73824 97408 98432 105779 106752 106891 146112 147648 194816 196864 211558 213504 213782 292224 295296 317337 320673 389632 393728 423116 427564 584448 585209 590592 634674 641346 846232 855128 1168896 1170418 1181184 1269348 1282692 1692464 1710256 1755627 2340836 2538696 2565384 3384928 3420512 3511254 4681672 5077392 5130768 6769856 6841024 7022508 9363344 10154784 10261536 13539712 13682048 14045016 18726688 20309568 20523072 27079424 27364096 28090032 37453376 40619136 41046144 54158848 54728192 56180064 74906752 81238272 81344051 82092288 112360128 149813504 162476544 162688102 164184576 224720256 244032153 299627008 325376204 449440512 488064306 650752408 898881024 976128612 1301504816 1952257224 2603009632 3904514448 5206019264 7809028896 10412038528 15618057792 20824077056 31236115584 41648154112 62472231168 124944462336