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145034454560 = 25522310933719
BaseRepresentation
bin1000011100010010111…
…0100010011000100000
3111212100200220200002012
42013010232202120200
54334012310021220
6150343343412052
713323042344252
oct2070456423040
9455320820065
10145034454560
1156566194396
12241378b4028
13108a48c52a8
14703c0dbcd2
153b8cbd1ac5
hex21c4ba2620

145034454560 has 96 divisors (see below), whose sum is σ = 344587944960. Its totient is φ = 57685275648.

The previous prime is 145034454559. The next prime is 145034454613. The reversal of 145034454560 is 65454430541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38996381 + ... + 39000099.

It is an arithmetic number, because the mean of its divisors is an integer number (3589457760).

Almost surely, 2145034454560 is an apocalyptic number.

145034454560 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 145034454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172293972480).

145034454560 is an abundant number, since it is smaller than the sum of its proper divisors (199553490400).

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

145034454560 is a wasteful number, since it uses less digits than its factorization.

145034454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 145034454560 in words is "one hundred forty-five billion, thirty-four million, four hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1093 1115 1784 2186 2230 3568 3719 4372 4460 5465 7136 7438 8744 8920 10930 14876 17488 17840 18595 21860 29752 34976 35680 37190 43720 59504 74380 87440 119008 148760 174880 243739 297520 487478 595040 829337 974956 1218695 1658674 1949912 2437390 3317348 3899824 4064867 4146685 4874780 6634696 7799648 8129734 8293370 9749560 13269392 16259468 16586740 19499120 20324335 26538784 32518936 33173480 38998240 40648670 65037872 66346960 81297340 130075744 132693920 162594680 325189360 650378720 906465341 1812930682 3625861364 4532326705 7251722728 9064653410 14503445456 18129306820 29006890912 36258613640 72517227280 145034454560