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104214104442 = 23472163239337
BaseRepresentation
bin110000100001110100…
…1010000100101111010
3100221222212020000210000
41201003221100211322
53201412302320232
6115513021533430
710346344162200
oct1410351204572
9327885200700
10104214104442
1140219166148
1218245114276
139a9a8b6276
1450889c9070
152a9e1a327c
hex1843a5097a

104214104442 has 240 divisors, whose sum is σ = 275266442880. Its totient is φ = 29381522688.

The previous prime is 104214104431. The next prime is 104214104453. The reversal of 104214104442 is 244401412401.

It is a happy number.

104214104442 is a `hidden beast` number, since 1 + 0 + 4 + 214 + 1 + 0 + 4 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (104214104431) and next prime (104214104453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 309240498 + ... + 309240834.

It is an arithmetic number, because the mean of its divisors is an integer number (1146943512).

Almost surely, 2104214104442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104214104442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137633221440).

104214104442 is an abundant number, since it is smaller than the sum of its proper divisors (171052338438).

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

104214104442 is a wasteful number, since it uses less digits than its factorization.

104214104442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 104214104442 its reverse (244401412401), we get a palindrome (348615516843).

The spelling of 104214104442 in words is "one hundred four billion, two hundred fourteen million, one hundred four thousand, four hundred forty-two".