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534000551440 = 245233123114051
BaseRepresentation
bin1111100010101001110…
…10011100011000010000
31220001100102020200111111
413301110322130120100
532222113120121230
61045152205023104
753403013536436
oct7612472343020
91801312220444
10534000551440
11196517431a94
12875ab854a94
133b482298575
141bbbaac6d56
15dd55a9092a
hex7c54e9c610

534000551440 has 160 divisors (see below), whose sum is σ = 1338232061952. Its totient is φ = 197588160000.

The previous prime is 534000551437. The next prime is 534000551501. The reversal of 534000551440 is 44155000435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 131817415 + ... + 131821465.

Almost surely, 2534000551440 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 534000551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669116030976).

534000551440 is an abundant number, since it is smaller than the sum of its proper divisors (804231510512).

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

534000551440 is a wasteful number, since it uses less digits than its factorization.

534000551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 534000551440 its reverse (44155000435), we get a palindrome (578155551875).

The spelling of 534000551440 in words is "five hundred thirty-four billion, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2311 2480 2852 3565 4051 4622 5704 7130 8102 9244 11408 11555 14260 16204 18488 20255 23110 28520 32408 36976 40510 46220 53153 57040 64816 71641 81020 92440 93173 106306 125581 143282 162040 184880 186346 212612 251162 265765 286564 324080 358205 372692 425224 465865 502324 531530 573128 627905 716410 745384 850448 931730 1004648 1063060 1146256 1255810 1432820 1490768 1647743 1863460 2009296 2126120 2511620 2865640 2888363 3295486 3726920 4252240 5023240 5731280 5776726 6590972 7453840 8238715 9361861 10046480 11553452 13181944 14441815 16477430 18723722 23106904 26363888 28883630 32954860 37447444 46213808 46809305 57767260 65909720 74894888 93618610 115534520 131819440 149789776 187237220 215322803 231069040 290217691 374474440 430645606 580435382 748948880 861291212 1076614015 1160870764 1451088455 1722582424 2153228030 2321741528 2902176910 3445164848 4306456060 4643483056 5804353820 6675006893 8612912120 11608707640 13350013786 17225824240 23217415280 26700027572 33375034465 53400055144 66750068930 106800110288 133500137860 267000275720 534000551440