Search a number
-
+
240157600644 = 223138376124373
BaseRepresentation
bin1101111110101010000…
…0100010101110000100
3211221212222220011102210
43133222200202232010
512413320321210034
6302154334503420
723231220631623
oct3375240425604
9757788804383
10240157600644
1192939782a05
123a664364b70
1319853c32050
14b8a35956ba
1563a8bdc8e9
hex37ea822b84

240157600644 has 96 divisors (see below), whose sum is σ = 611571348864. Its totient is φ = 72905425920.

The previous prime is 240157600643. The next prime is 240157600649. The reversal of 240157600644 is 446006751042.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (240157600643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9841242 + ... + 9865614.

It is an arithmetic number, because the mean of its divisors is an integer number (6370534884).

Almost surely, 2240157600644 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 240157600644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305785674432).

240157600644 is an abundant number, since it is smaller than the sum of its proper divisors (371413748220).

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

240157600644 is a wasteful number, since it uses less digits than its factorization.

240157600644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25237 (or 25235 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 240157600644 in words is "two hundred forty billion, one hundred fifty-seven million, six hundred thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 761 996 1079 1522 2158 2283 3044 3237 4316 4566 6474 9132 9893 12948 19786 24373 29679 39572 48746 59358 63163 73119 97492 118716 126326 146238 189489 252652 292476 316849 378978 633698 757956 821119 950547 1267396 1642238 1901094 2022959 2463357 3284476 3802188 4045918 4926714 6068877 8091836 9853428 12137754 18547853 24275508 26298467 37095706 52596934 55643559 74191412 78895401 105193868 111287118 157790802 222574236 241122089 315581604 482244178 723366267 964488356 1446732534 1539471799 2893465068 3078943598 4618415397 6157887196 9236830794 18473661588 20013133387 40026266774 60039400161 80052533548 120078800322 240157600644