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354170014420 = 2251733604417
BaseRepresentation
bin1010010011101100010…
…11011000101011010100
31020212011201100212202111
411021312023120223110
521300320010430140
6430411540320404
734405443310465
oct5116613305324
91225151325674
10354170014420
11127225815962
12587829a3104
13275237a8a91
14131db600d6c
15932d1ad7ea
hex52762d8ad4

354170014420 has 48 divisors (see below), whose sum is σ = 790232602320. Its totient is φ = 133334556672.

The previous prime is 354170014411. The next prime is 354170014421. The reversal of 354170014420 is 24410071453.

It can be written as a sum of positive squares in 8 ways, for example, as 42667024 + 354127347396 = 6532^2 + 595086^2 .

It is a super-2 number, since 2×3541700144202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354170014421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703949 + ... + 1900468.

It is an arithmetic number, because the mean of its divisors is an integer number (16463179215).

Almost surely, 2354170014420 is an apocalyptic number.

It is an amenable number.

354170014420 is an abundant number, since it is smaller than the sum of its proper divisors (436062587900).

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

354170014420 is a wasteful number, since it uses less digits than its factorization.

354170014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604477 (or 3604441 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 354170014420 its reverse (24410071453), we get a palindrome (378580085873).

The spelling of 354170014420 in words is "three hundred fifty-four billion, one hundred seventy million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 4913 5780 9826 19652 24565 49130 98260 3604417 7208834 14417668 18022085 36044170 61275089 72088340 122550178 245100356 306375445 612750890 1041676513 1225501780 2083353026 4166706052 5208382565 10416765130 17708500721 20833530260 35417001442 70834002884 88542503605 177085007210 354170014420