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2145105438 = 237273127787
BaseRepresentation
bin111111111011011…
…1011011000011110
312112111101122110120
41333312323120132
513343121333223
6552505015410
7104105044500
oct17766733036
95474348416
102145105438
11a00946513
124ba484566
13282551478
14164c6bd70
15c84c6be3
hex7fdbb61e

2145105438 has 96 divisors (see below), whose sum is σ = 5105332224. Its totient is φ = 598969728.

The previous prime is 2145105409. The next prime is 2145105449. The reversal of 2145105438 is 8345015412.

It is a junction number, because it is equal to n+sod(n) for n = 2145105399 and 2145105408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2725281 + ... + 2726067.

It is an arithmetic number, because the mean of its divisors is an integer number (53180544).

Almost surely, 22145105438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145105438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552666112).

2145105438 is an abundant number, since it is smaller than the sum of its proper divisors (2960226786).

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

2145105438 is a wasteful number, since it uses less digits than its factorization.

2145105438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2145105438 is about 46315.2829852091. The cubic root of 2145105438 is about 1289.6827210814.

The spelling of 2145105438 in words is "two billion, one hundred forty-five million, one hundred five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 127 146 147 219 254 294 381 438 511 762 787 889 1022 1533 1574 1778 2361 2667 3066 3577 4722 5334 5509 6223 7154 9271 10731 11018 12446 16527 18542 18669 21462 27813 33054 37338 38563 55626 57451 64897 77126 99949 114902 115689 129794 172353 194691 199898 231378 299847 344706 389382 402157 454279 599694 699643 804314 908558 1206471 1362837 1399286 2098929 2412942 2725674 2815099 4197858 4897501 5630198 7296277 8445297 9795002 14592554 14692503 16890594 21888831 29385006 43777662 51073939 102147878 153221817 306443634 357517573 715035146 1072552719 2145105438