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23151344145200 = 2452523571193811
BaseRepresentation
bin1010100001110010101111…
…01001001101001100110000
310000222020122222102221112222
411100321113221031030300
511013302423100121300
6121123325231540212
74606425614211635
oct520712751151460
9100866588387488
1023151344145200
117416480241067
12271aa7638a668
13cbc2159b657b
145a076123818c
152a23461b9785
hex150e57a4d330

23151344145200 has 120 divisors (see below), whose sum is σ = 55825338693696. Its totient is φ = 9226596384000.

The previous prime is 23151344145197. The next prime is 23151344145247. The reversal of 23151344145200 is 254144315132.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119356295 + ... + 119550105.

Almost surely, 223151344145200 is an apocalyptic number.

23151344145200 is a gapful number since it is divisible by the number (20) 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 23151344145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27912669346848).

23151344145200 is an abundant number, since it is smaller than the sum of its proper divisors (32673994548496).

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

23151344145200 is a wasteful number, since it uses less digits than its factorization.

23151344145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194923 (or 194912 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 23151344145200 in words is "twenty-three trillion, one hundred fifty-one billion, three hundred forty-four million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 523 571 1046 1142 2092 2284 2615 2855 4184 4568 5230 5710 8368 9136 10460 11420 13075 14275 20920 22840 26150 28550 41840 45680 52300 57100 104600 114200 193811 209200 228400 298633 387622 597266 775244 969055 1194532 1493165 1550488 1938110 2389064 2986330 3100976 3876220 4778128 4845275 5972660 7465825 7752440 9690550 11945320 14931650 15504880 19381100 23890640 29863300 38762200 59726600 77524400 101363153 110666081 119453200 202726306 221332162 405452612 442664324 506815765 553330405 810905224 885328648 1013631530 1106660810 1621810448 1770657296 2027263060 2213321620 2534078825 2766652025 4054526120 4426643240 5068157650 5533304050 8109052240 8853286480 10136315300 11066608100 20272630600 22133216200 40545261200 44266432400 57878360363 115756720726 231513441452 289391801815 463026882904 578783603630 926053765808 1157567207260 1446959009075 2315134414520 2893918018150 4630268829040 5787836036300 11575672072600 23151344145200