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1042414414350 = 235237187822417
BaseRepresentation
bin11110010101101001011…
…11011010101000001110
310200122122122121220211020
433022310233122220032
5114034331042224400
62114513434335010
7135212000216511
oct17126457325016
93618578556736
101042414414350
113720a38411a1
1214a03a58a466
13773b761293a
143864b546d78
151c1b01c02a0
hexf2b4bdaa0e

1042414414350 has 48 divisors (see below), whose sum is σ = 2655057700848. Its totient is φ = 270464279040.

The previous prime is 1042414414331. The next prime is 1042414414409. The reversal of 1042414414350 is 534144142401.

It is a super-2 number, since 2×10424144143502 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93905659 + ... + 93916758.

It is an arithmetic number, because the mean of its divisors is an integer number (55313702101).

Almost surely, 21042414414350 is an apocalyptic number.

1042414414350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042414414350 is an abundant number, since it is smaller than the sum of its proper divisors (1612643286498).

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

1042414414350 is a wasteful number, since it uses less digits than its factorization.

1042414414350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187822469 (or 187822464 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 1042414414350 its reverse (534144142401), we get a palindrome (1576558556751).

The spelling of 1042414414350 in words is "one trillion, forty-two billion, four hundred fourteen million, four hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 187822417 375644834 563467251 939112085 1126934502 1878224170 2817336255 4695560425 5634672510 6949429429 9391120850 13898858858 14086681275 20848288287 28173362550 34747147145 41696576574 69494294290 104241441435 173735735725 208482882870 347471471450 521207207175 1042414414350