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10411434000 = 2432531152583
BaseRepresentation
bin10011011001001000…
…11110000000010000
3222212120221122110200
421230210132000100
5132310311342000
64441041055200
7516001504662
oct115444360020
928776848420
1010411434000
114462a8a510
122026927500
13c9c003246
1470aa62532
1540e07e500
hex26c91e010

10411434000 has 240 divisors, whose sum is σ = 39670210944. Its totient is φ = 2523936000.

The previous prime is 10411433999. The next prime is 10411434013. The reversal of 10411434000 is 43411401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171709 + ... + 224291.

Almost surely, 210411434000 is an apocalyptic number.

10411434000 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 10411434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835105472).

10411434000 is an abundant number, since it is smaller than the sum of its proper divisors (29258776944).

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

10411434000 is a wasteful number, since it uses less digits than its factorization.

10411434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52623 (or 52604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10411434000 its reverse (43411401), we get a palindrome (10454845401).

The spelling of 10411434000 in words is "ten billion, four hundred eleven million, four hundred thirty-four thousand".