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145562561232 = 243111481186149
BaseRepresentation
bin1000011110010000110…
…1000110101011010000
3111220201111122021020120
42013210031012223100
54341103003424412
6150512010510240
713342114232664
oct2074415065320
9456644567216
10145562561232
11568072a8790
1224264735380
131095a13b64a
14708c2cc8a4
153bbe24cb8c
hex21e4346ad0

145562561232 has 80 divisors (see below), whose sum is σ = 410500958400. Its totient is φ = 44079846400.

The previous prime is 145562561219. The next prime is 145562561233. The reversal of 145562561232 is 232165265541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145562561233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688894 + ... + 875042.

It is an arithmetic number, because the mean of its divisors is an integer number (5131261980).

Almost surely, 2145562561232 is an apocalyptic number.

145562561232 is a gapful number since it is divisible by the number (12) 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 145562561232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205250479200).

145562561232 is an abundant number, since it is smaller than the sum of its proper divisors (264938397168).

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

145562561232 is a wasteful number, since it uses less digits than its factorization.

145562561232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187652 (or 187646 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 145562561232 in words is "one hundred forty-five billion, five hundred sixty-two million, five hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1481 2962 4443 5924 8886 11848 16291 17772 23696 32582 35544 48873 65164 71088 97746 130328 186149 195492 260656 372298 390984 558447 744596 781968 1116894 1489192 2047639 2233788 2978384 4095278 4467576 6142917 8190556 8935152 12285834 16381112 24571668 32762224 49143336 98286672 275686669 551373338 827060007 1102746676 1654120014 2205493352 3032553359 3308240028 4410986704 6065106718 6616480056 9097660077 12130213436 13232960112 18195320154 24260426872 36390640308 48520853744 72781280616 145562561232