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145444015140 = 223525764314669
BaseRepresentation
bin1000011101110100100…
…0111000110000100100
3111220102020120111120120
42013131020320300210
54340332131441030
6150452134001540
713336144505364
oct2073510706044
9456366514516
10145444015140
115675639a306
1224230aa62b0
131093b703428
14707a6709a4
153bb3b33010
hex21dd238c24

145444015140 has 96 divisors (see below), whose sum is σ = 409491573120. Its totient is φ = 38571442176.

The previous prime is 145444015133. The next prime is 145444015163. The reversal of 145444015140 is 41510444541.

It is a happy 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, 9907726 + ... + 9922394.

It is an arithmetic number, because the mean of its divisors is an integer number (4265537220).

Almost surely, 2145444015140 is an apocalyptic number.

145444015140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145444015140 is an abundant number, since it is smaller than the sum of its proper divisors (264047557980).

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

145444015140 is a wasteful number, since it uses less digits than its factorization.

145444015140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 145444015140 its reverse (41510444541), we get a palindrome (186954459681).

The spelling of 145444015140 in words is "one hundred forty-five billion, four hundred forty-four million, fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 643 771 1028 1285 1286 1542 1929 2570 2572 3084 3215 3855 3858 5140 6430 7710 7716 9645 12860 14669 15420 19290 29338 38580 44007 58676 73345 88014 146690 165251 176028 220035 293380 330502 440070 495753 661004 826255 880140 991506 1652510 1983012 2478765 3305020 3769933 4957530 7539866 9432167 9915060 11309799 15079732 18849665 18864334 22619598 28296501 37699330 37728668 45239196 47160835 56548995 56593002 75398660 94321670 113097990 113186004 141482505 188643340 226195980 282965010 565930020 2424066919 4848133838 7272200757 9696267676 12120334595 14544401514 24240669190 29088803028 36361003785 48481338380 72722007570 145444015140