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510045141020 = 225732334013739
BaseRepresentation
bin1110110110000010000…
…11110011100000011100
31210202111220220202012112
413123001003303200130
531324033024003040
61030151141253152
751564252110642
oct7330103634034
91722456822175
10510045141020
11187344204638
1282a251041b8
13391352b1abc
141a987377192
15d40295b365
hex76c10f381c

510045141020 has 96 divisors (see below), whose sum is σ = 1093438906560. Its totient is φ = 199806566400.

The previous prime is 510045141017. The next prime is 510045141059. The reversal of 510045141020 is 20141540015.

It is a super-2 number, since 2×5100451410202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136410311 + ... + 136414049.

It is an arithmetic number, because the mean of its divisors is an integer number (11389988610).

Almost surely, 2510045141020 is an apocalyptic number.

It is an amenable number.

510045141020 is an abundant number, since it is smaller than the sum of its proper divisors (583393765540).

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

510045141020 is a wasteful number, since it uses less digits than its factorization.

510045141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 510045141020 its reverse (20141540015), we get a palindrome (530186681035).

The spelling of 510045141020 in words is "five hundred ten billion, forty-five million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 233 292 365 401 466 730 802 932 1165 1460 1604 2005 2330 3739 4010 4660 7478 8020 14956 17009 18695 29273 34018 37390 58546 68036 74780 85045 93433 117092 146365 170090 186866 272947 292730 340180 373732 467165 545894 585460 871187 934330 1091788 1364735 1499339 1742374 1868660 2729470 2998678 3484748 4355935 5458940 5997356 6820609 7496695 8711870 13641218 14993390 17423740 27282436 29986780 34103045 63596651 68206090 109451747 127193302 136412180 218903494 254386604 317983255 349345987 437806988 547258735 635966510 698691974 1094517470 1271933020 1397383948 1746729935 2189034940 3493459870 6986919740 25502257051 51004514102 102009028204 127511285255 255022570510 510045141020