Search a number
-
+
157348624401424 = 24412764872
BaseRepresentation
bin100011110001101110010100…
…110111010000010000010000
3202122010101022011202022200101
4203301232110313100100100
5131110444440321321144
61314352543220302144
745100030411426441
oct4361562467202020
9678111264668611
10157348624401424
11461551a444a325
1215793273b41954
1369a4bb0a78cb1
142abd9dd5252c8
15132ceeb00c6d4
hex8f1b94dd0410

157348624401424 has 45 divisors (see below), whose sum is σ = 312484085273341. Its totient is φ = 76754423027840.

The previous prime is 157348624401403. The next prime is 157348624401433. The reversal of 157348624401424 is 424104426843751.

The square root of 157348624401424 is 12543868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7581938475024 + 149766685926400 = 2753532^2 + 12237920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2057156109 + ... + 2057232595.

Almost surely, 2157348624401424 is an apocalyptic number.

157348624401424 is the 12543868-th square number.

It is an amenable number.

157348624401424 is a deficient number, since it is larger than the sum of its proper divisors (155135460871917).

157348624401424 is an frugal number, since it uses more digits than its factorization.

157348624401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153064 (or 76530 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 55.

The spelling of 157348624401424 in words is "one hundred fifty-seven trillion, three hundred forty-eight billion, six hundred twenty-four million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 13448 26896 76487 152974 305948 611896 1223792 3135967 6271934 12543868 25087736 50175472 128574647 257149294 514298588 1028597176 2057194352 5850261169 11700522338 23401044676 46802089352 93604178704 239860707929 479721415858 959442831716 1918885663432 3837771326864 9834289025089 19668578050178 39337156100356 78674312200712 157348624401424