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146125560640 = 2652741166597
BaseRepresentation
bin1000100000010111000…
…0110001101101000000
3111222011202000121020111
42020011300301231000
54343231120420030
6151043521521104
713362061525453
oct2100560615500
9458152017214
10146125560640
1156a76084554
12243a11a3194
1310a199809a7
147102da349a
153c038ac62a
hex2205c31b40

146125560640 has 56 divisors (see below), whose sum is σ = 348090527592. Its totient is φ = 58428549120.

The previous prime is 146125560631. The next prime is 146125560671. The reversal of 146125560640 is 46065521641.

It can be written as a sum of positive squares in 4 ways, for example, as 21849569856 + 124275990784 = 147816^2 + 352528^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 146125560593 and 146125560602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793822 + ... + 960418.

Almost surely, 2146125560640 is an apocalyptic number.

146125560640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146125560640 is an abundant number, since it is smaller than the sum of its proper divisors (201964966952).

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

146125560640 is a wasteful number, since it uses less digits than its factorization.

146125560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169355 (or 169345 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 146125560640 in words is "one hundred forty-six billion, one hundred twenty-five million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2741 5482 10964 13705 21928 27410 43856 54820 87712 109640 166597 175424 219280 333194 438560 666388 832985 877120 1332776 1665970 2665552 3331940 5331104 6663880 10662208 13327760 26655520 53311040 456642377 913284754 1826569508 2283211885 3653139016 4566423770 7306278032 9132847540 14612556064 18265695080 29225112128 36531390160 73062780320 146125560640