Search a number
-
+
4718157425424 = 2434603372
BaseRepresentation
bin100010010101000100000…
…0110001110101100010000
3121201001101111120212210000
41010222020012032230100
51104300241300103144
614011254104010000
7664606224256032
oct104521006165420
917631344525700
104718157425424
111559a60956783
126424b1460900
13282bc6c94891
14124507d2dc52
1582ae4165769
hex44a8818eb10

4718157425424 has 75 divisors (see below), whose sum is σ = 13655942765157. Its totient is φ = 1572693076224.

The previous prime is 4718157425383. The next prime is 4718157425431. The reversal of 4718157425424 is 4245247518174.

The square root of 4718157425424 is 2172132.

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

4718157425424 is a `hidden beast` number, since 4 + 7 + 1 + 8 + 1 + 57 + 42 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 461231139600 + 4256926285824 = 679140^2 + 2063232^2 .

It is a super-2 number, since 2×47181574254242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 78166584 + ... + 78226920.

Almost surely, 24718157425424 is an apocalyptic number.

4718157425424 is the 2172132-nd square number.

It is an amenable number.

4718157425424 is an abundant number, since it is smaller than the sum of its proper divisors (8937785339733).

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

4718157425424 is an frugal number, since it uses more digits than its factorization.

4718157425424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120694 (or 60342 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The spelling of 4718157425424 in words is "four trillion, seven hundred eighteen billion, one hundred fifty-seven million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 60337 120674 181011 241348 362022 482696 543033 724044 965392 1086066 1448088 1629099 2172132 2896176 3258198 4344264 4887297 6516396 8688528 9774594 13032792 19549188 26065584 39098376 78196752 3640553569 7281107138 10921660707 14562214276 21843321414 29124428552 32764982121 43686642828 58248857104 65529964242 87373285656 98294946363 131059928484 174746571312 196589892726 262119856968 294884839089 393179785452 524239713936 589769678178 786359570904 1179539356356 1572719141808 2359078712712 4718157425424