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10034899290240 = 2735111279937123
BaseRepresentation
bin1001001000000110111010…
…0110111000100010000000
31022112022211101101212221120
42102001232212320202000
52303402433204241430
633201545153552240
72053666105411206
oct222015646704200
938468741355846
1010034899290240
113219860049350
1211609b7575680
1357a39654a616
14269998101076
1512606dc2d610
hex9206e9b8880

10034899290240 has 256 divisors, whose sum is σ = 34897747968000. Its totient is φ = 2432447262720.

The previous prime is 10034899290233. The next prime is 10034899290263. The reversal of 10034899290240 is 4209299843001.

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, 270296319 + ... + 270333441.

It is an arithmetic number, because the mean of its divisors is an integer number (136319328000).

Almost surely, 210034899290240 is an apocalyptic number.

10034899290240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034899290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448873984000).

10034899290240 is an abundant number, since it is smaller than the sum of its proper divisors (24862848677760).

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

10034899290240 is a wasteful number, since it uses less digits than its factorization.

10034899290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49955 (or 49943 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 10034899290240 in words is "ten trillion, thirty-four billion, eight hundred ninety-nine million, two hundred ninety thousand, two hundred forty".