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540373233834 = 232722387721929
BaseRepresentation
bin1111101110100001100…
…00010011000010101010
31220122210112120111022100
413313100300103002222
532323141021440314
61052124413434230
754016644462420
oct7672060230252
91818715514270
10540373233834
1119919766a655
1288889a9b976
133bc5962c855
141c2231c9110
15e0ca292c09
hex7dd0c130aa

540373233834 has 96 divisors (see below), whose sum is σ = 1345661291520. Its totient is φ = 153517752576.

The previous prime is 540373233817. The next prime is 540373233839. The reversal of 540373233834 is 438332373045.

It is a happy number.

540373233834 is a `hidden beast` number, since 5 + 40 + 373 + 233 + 8 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 540373233834.

It is not an unprimeable number, because it can be changed into a prime (540373233839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24630982 + ... + 24652910.

It is an arithmetic number, because the mean of its divisors is an integer number (14017305120).

Almost surely, 2540373233834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540373233834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672830645760).

540373233834 is an abundant number, since it is smaller than the sum of its proper divisors (805288057686).

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

540373233834 is a wasteful number, since it uses less digits than its factorization.

540373233834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23044 (or 23041 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 540373233834 in words is "five hundred forty billion, three hundred seventy-three million, two hundred thirty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 877 1338 1561 1754 2007 2631 3122 4014 4683 5262 6139 7893 9366 12278 14049 15786 18417 21929 28098 36834 43858 55251 65787 110502 131574 153503 195571 197361 307006 391142 394722 460509 586713 921018 1173426 1368997 1381527 1760139 2737994 2763054 3520278 4106991 4890167 8213982 9780334 12320973 14670501 19231733 24641946 29341002 34231169 38463466 44011503 57695199 68462338 88023006 102693507 115390398 134622131 173085597 205387014 269244262 308080521 346171194 403866393 616161042 807732786 1211599179 2423198358 4288676459 8577352918 12866029377 25732058754 30020735213 38598088131 60041470426 77196176262 90062205639 180124411278 270186616917 540373233834