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130038215424 = 28313377069
BaseRepresentation
bin111100100011011100…
…0011011001100000000
3110102122120211210022220
41321012320123030000
54112304240343144
6135423322131040
712252316410405
oct1710670331400
9412576753286
10130038215424
1150170200a27
1221251650a80
13c354a95000
1464185b62ac
1535b13b1919
hex1e46e1b300

130038215424 has 144 divisors (see below), whose sum is σ = 374923970400. Its totient is φ = 40011239424.

The previous prime is 130038215407. The next prime is 130038215477. The reversal of 130038215424 is 424512830031.

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, 1648762 + ... + 1725830.

Almost surely, 2130038215424 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 130038215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187461985200).

130038215424 is an abundant number, since it is smaller than the sum of its proper divisors (244885754976).

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

130038215424 is an frugal number, since it uses more digits than its factorization.

130038215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77127 (or 77087 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 130038215424 in words is "one hundred thirty billion, thirty-eight million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2197 2496 2704 3328 4056 4394 4992 5408 6591 8112 8788 9984 10816 13182 16224 17576 21632 26364 32448 35152 43264 52728 64896 70304 77069 105456 129792 140608 154138 210912 231207 281216 308276 421824 462414 562432 616552 843648 924828 1001897 1233104 1687296 1849656 2003794 2466208 3005691 3699312 4007588 4932416 6011382 7398624 8015176 9864832 12022764 13024661 14797248 16030352 19729664 24045528 26049322 29594496 32060704 39073983 48091056 52098644 59188992 64121408 78147966 96182112 104197288 128242816 156295932 169320593 192364224 208394576 256485632 312591864 338641186 384728448 416789152 507961779 625183728 677282372 769456896 833578304 1015923558 1250367456 1354564744 1667156608 2031847116 2500734912 2709129488 3334313216 4063694232 5001469824 5418258976 8127388464 10002939648 10836517952 16254776928 21673035904 32509553856 43346071808 65019107712 130038215424