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145104452600 = 235211317935869
BaseRepresentation
bin1000011100100011100…
…1100011101111111000
3111212112120121221100012
42013020321203233320
54334133214440400
6150354324001052
713324552332212
oct2071071435770
9455476557305
10145104452600
11565a1753a08
1224157230188
13108b6262c53
14704751d5b2
153b93e0bd35
hex21c8e63bf8

145104452600 has 96 divisors (see below), whose sum is σ = 342264366000. Its totient is φ = 57205155840.

The previous prime is 145104452593. The next prime is 145104452609. The reversal of 145104452600 is 6254401541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145104452609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4027466 + ... + 4063334.

Almost surely, 2145104452600 is an apocalyptic number.

145104452600 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 145104452600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171132183000).

145104452600 is an abundant number, since it is smaller than the sum of its proper divisors (197159913400).

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

145104452600 is a wasteful number, since it uses less digits than its factorization.

145104452600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36177 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 145104452600 in words is "one hundred forty-five billion, one hundred four million, four hundred fifty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 179 200 226 358 452 565 716 895 904 1130 1432 1790 2260 2825 3580 4475 4520 5650 7160 8950 11300 17900 20227 22600 35800 35869 40454 71738 80908 101135 143476 161816 179345 202270 286952 358690 404540 505675 717380 809080 896725 1011350 1434760 1793450 2022700 3586900 4045400 4053197 6420551 7173800 8106394 12841102 16212788 20265985 25682204 32102755 32425576 40531970 51364408 64205510 81063940 101329925 128411020 160513775 162127880 202659850 256822040 321027550 405319700 642055100 725522263 810639400 1284110200 1451044526 2902089052 3627611315 5804178104 7255222630 14510445260 18138056575 29020890520 36276113150 72552226300 145104452600