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23145155040500 = 2253295330117313
BaseRepresentation
bin1010100001100111001101…
…01111101001010011110100
310000221122200122112211222222
411100303212233221103310
511013202234142244000
6121120423141541512
74606116342534623
oct520634657512364
9100848618484888
1023145155040500
11741389469a0a9
122719829714898
13cbb76a6a973c
145a03352816ba
152a20d2b7aa85
hex150ce6be94f4

23145155040500 has 96 divisors (see below), whose sum is σ = 53278733158560. Its totient is φ = 8770161254400.

The previous prime is 23145155040407. The next prime is 23145155040503. The reversal of 23145155040500 is 504055154132.

It can be written as a sum of positive squares in 16 ways, for example, as 9033847764496 + 14111307276004 = 3005636^2 + 3756502^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145155040503) 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, 14290157 + ... + 15827156.

It is an arithmetic number, because the mean of its divisors is an integer number (554986803735).

Almost surely, 223145155040500 is an apocalyptic number.

23145155040500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23145155040500 is an abundant number, since it is smaller than the sum of its proper divisors (30133578118060).

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

23145155040500 is a wasteful number, since it uses less digits than its factorization.

23145155040500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30117414 (or 30117402 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 23145155040500 in words is "twenty-three trillion, one hundred forty-five billion, one hundred fifty-five million, forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 125 145 212 250 265 290 500 530 580 725 1060 1325 1450 1537 2650 2900 3074 3625 5300 6148 6625 7250 7685 13250 14500 15370 26500 30740 38425 76850 153700 192125 384250 768500 30117313 60234626 120469252 150586565 301173130 602346260 752932825 873402077 1505865650 1596217589 1746804154 3011731300 3192435178 3493608308 3764664125 4367010385 6384870356 7529328250 7981087945 8734020770 15058656500 15962175890 17468041540 21835051925 31924351780 39905439725 43670103850 46290310081 79810879450 87340207700 92580620162 109175259625 159621758900 185161240324 199527198625 218350519250 231451550405 399054397250 436701038500 462903100810 798108794500 925806201620 1157257752025 2314515504050 4629031008100 5786288760125 11572577520250 23145155040500