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1054402104400 = 2452171961353379
BaseRepresentation
bin11110101011111110100…
…00110100110001010000
310201210121002120200002121
433111333100310301100
5114233403414320100
62124215144224024
7136115032003261
oct17257720646120
93653532520077
101054402104400
11377195555157
1215042516b014
1378578057368
143906767c968
151c66280d51a
hexf57f434c50

1054402104400 has 480 divisors, whose sum is σ = 2885389430400. Its totient is φ = 367873228800.

The previous prime is 1054402104397. The next prime is 1054402104433. The reversal of 1054402104400 is 44012044501.

It is a super-2 number, since 2×10544021044002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2782063411 + ... + 2782063789.

It is an arithmetic number, because the mean of its divisors is an integer number (6011227980).

Almost surely, 21054402104400 is an apocalyptic number.

1054402104400 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 1054402104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442694715200).

1054402104400 is an abundant number, since it is smaller than the sum of its proper divisors (1830987326000).

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

1054402104400 is a wasteful number, since it uses less digits than its factorization.

1054402104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1054402104400 its reverse (44012044501), we get a palindrome (1098414148901).

The spelling of 1054402104400 in words is "one trillion, fifty-four billion, four hundred two million, one hundred four thousand, four hundred".