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16213524434140 = 22511177016184261
BaseRepresentation
bin1110101111110000000101…
…0111010100110011011100
32010101222221101122221002011
43223330001113110303130
54111120244223343030
654252220145441004
73262250151531565
oct353740127246334
963358841587064
1016213524434140
115191131948170
12199a358640164
13907c0c737a27
14400a4b28116c
151d1b3e844b2a
hexebf015d4cdc

16213524434140 has 96 divisors (see below), whose sum is σ = 39384744654528. Its totient is φ = 5541096960000.

The previous prime is 16213524434083. The next prime is 16213524434189. The reversal of 16213524434140 is 4143442531261.

It is a junction number, because it is equal to n+sod(n) for n = 16213524434093 and 16213524434102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470391 + ... + 5713870.

It is an arithmetic number, because the mean of its divisors is an integer number (410257756818).

Almost surely, 216213524434140 is an apocalyptic number.

16213524434140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16213524434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692372327264).

16213524434140 is an abundant number, since it is smaller than the sum of its proper divisors (23171220220388).

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

16213524434140 is a wasteful number, since it uses less digits than its factorization.

16213524434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6184999 (or 6184997 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 16213524434140 in words is "sixteen trillion, two hundred thirteen billion, five hundred twenty-four million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 701 748 935 1402 1870 2804 3505 3740 7010 7711 11917 14020 15422 23834 30844 38555 47668 59585 77110 119170 131087 154220 238340 262174 524348 655435 1310870 2621740 6184261 12368522 24737044 30921305 61842610 68026871 105132437 123685220 136053742 210264874 272107484 340134355 420529748 525662185 680268710 1051324370 1156456807 1360537420 2102648740 2312913614 4335166961 4625827228 5782284035 8670333922 11564568070 17340667844 21675834805 23129136140 43351669610 47686836571 73697838337 86703339220 95373673142 147395676674 190747346284 238434182855 294791353348 368489191685 476868365710 736978383370 810676221707 953736731420 1473956766740 1621352443414 3242704886828 4053381108535 8106762217070 16213524434140