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335500425440 = 25522938923539
BaseRepresentation
bin1001110000111010110…
…00100011100011100000
31012001222121020111022222
410320131120203203200
520444101102103230
6414043214250212
733145004364065
oct4703530434340
91161877214288
10335500425440
1111a315275384
12550324b6968
13258399261cb
1412349cb4c6c
158ad913d6e5
hex4e1d6238e0

335500425440 has 96 divisors (see below), whose sum is σ = 798161364000. Its totient is φ = 133265000448.

The previous prime is 335500425427. The next prime is 335500425457. The reversal of 335500425440 is 44524005533.

It is a super-2 number, since 2×3355004254402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335500425440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14241191 + ... + 14264729.

It is an arithmetic number, because the mean of its divisors is an integer number (8314180875).

Almost surely, 2335500425440 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 335500425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399080682000).

335500425440 is an abundant number, since it is smaller than the sum of its proper divisors (462660938560).

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

335500425440 is a wasteful number, since it uses less digits than its factorization.

335500425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24172 (or 24164 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 335500425440 in words is "three hundred thirty-five billion, five hundred million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 389 458 778 916 1145 1556 1832 1945 2290 3112 3664 3890 4580 6224 7328 7780 9160 12448 15560 18320 23539 31120 36640 47078 62240 89081 94156 117695 178162 188312 235390 356324 376624 445405 470780 712648 753248 890810 941560 1425296 1781620 1883120 2850592 3563240 3766240 5390431 7126480 9156671 10780862 14252960 18313342 21561724 26952155 36626684 43123448 45783355 53904310 73253368 86246896 91566710 107808620 146506736 172493792 183133420 215617240 293013472 366266840 431234480 732533680 862468960 1465067360 2096877659 4193755318 8387510636 10484388295 16775021272 20968776590 33550042544 41937553180 67100085088 83875106360 167750212720 335500425440