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2125145433642 = 237112418171081
BaseRepresentation
bin11110111011001100100…
…010011110011000101010
321112011101001001120110220
4132323030202132120222
5234304244212334032
64304140041550510
7306352041065520
oct36731442363052
97464331046426
102125145433642
1174a2a6216400
122a3a4aaa5436
1312552876a91a
1474c01314310
153a42ea6612c
hex1eecc89e62a

2125145433642 has 48 divisors (see below), whose sum is σ = 5339208374976. Its totient is φ = 551985825600.

The previous prime is 2125145433637. The next prime is 2125145433643. The reversal of 2125145433642 is 2463345415212.

It is a super-2 number, since 2×21251454336422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2125145433594 and 2125145433603.

It is not an unprimeable number, because it can be changed into a prime (2125145433643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209080459 + ... + 209090622.

It is an arithmetic number, because the mean of its divisors is an integer number (111233507812).

Almost surely, 22125145433642 is an apocalyptic number.

2125145433642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2125145433642 is an abundant number, since it is smaller than the sum of its proper divisors (3214062941334).

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

2125145433642 is a wasteful number, since it uses less digits than its factorization.

2125145433642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418171115 (or 418171104 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 2125145433642 in words is "two trillion, one hundred twenty-five billion, one hundred forty-five million, four hundred thirty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 418171081 836342162 1254513243 2509026486 2927197567 4599881891 5854395134 8781592701 9199763782 13799645673 17563185402 27599291346 32199173237 50598700801 64398346474 96597519711 101197401602 151796102403 193195039422 303592204806 354190905607 708381811214 1062572716821 2125145433642