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145969151120 = 245131011519203
BaseRepresentation
bin1000011111110001110…
…0000111110010010000
3111221202211201011201022
42013330130013302100
54342421100313440
6151020213255012
713355152212152
oct2077434076220
9457684634638
10145969151120
11569a5864791
1224358934468
13109c3449590
1470ca2caad2
153be4cb3cb5
hex21fc707c90

145969151120 has 160 divisors (see below), whose sum is σ = 371587716864. Its totient is φ = 53003520000.

The previous prime is 145969151089. The next prime is 145969151123. The reversal of 145969151120 is 21151969541.

It is not an unprimeable number, because it can be changed into a prime (145969151123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15856439 + ... + 15865641.

Almost surely, 2145969151120 is an apocalyptic number.

145969151120 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 145969151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185793858432).

145969151120 is an abundant number, since it is smaller than the sum of its proper divisors (225618565744).

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

145969151120 is a wasteful number, since it uses less digits than its factorization.

145969151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 44.

The spelling of 145969151120 in words is "one hundred forty-five billion, nine hundred sixty-nine million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 151 202 208 260 302 404 505 520 604 755 808 1010 1040 1208 1313 1510 1616 1963 2020 2416 2626 3020 3926 4040 5252 6040 6565 7852 8080 9203 9815 10504 12080 13130 15251 15704 18406 19630 21008 26260 30502 31408 36812 39260 46015 52520 61004 73624 76255 78520 92030 105040 119639 122008 147248 152510 157040 184060 198263 239278 244016 305020 368120 396526 478556 598195 610040 736240 793052 929503 957112 991315 1196390 1220080 1389653 1586104 1859006 1914224 1982630 2392780 2779306 3172208 3718012 3965260 4647515 4785560 5558612 6948265 7436024 7930520 9295030 9571120 11117224 12083539 13896530 14872048 15861040 18065489 18590060 22234448 24167078 27793060 36130978 37180120 48334156 55586120 60417695 72261956 74360240 90327445 96668312 111172240 120835390 140354953 144523912 180654890 193336624 241670780 280709906 289047824 361309780 483341560 561419812 701774765 722619560 966683120 1122839624 1403549530 1445239120 1824614389 2245679248 2807099060 3649228778 5614198120 7298457556 9123071945 11228396240 14596915112 18246143890 29193830224 36492287780 72984575560 145969151120