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142536551300 = 2252111341923789
BaseRepresentation
bin1000010010111111010…
…1110010101110000100
3111121220121200000222122
42010233311302232010
54313403324120200
6145251432545112
713204121460413
oct2045765625604
9447817600878
10142536551300
11554a4192730
122375b252198
131059724b320
146c8247547a
153a9376c385
hex212fd72b84

142536551300 has 144 divisors (see below), whose sum is σ = 364261060800. Its totient is φ = 47728243200.

The previous prime is 142536551299. The next prime is 142536551327. The reversal of 142536551300 is 3155635241.

142536551300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5979806 + ... + 6003594.

It is an arithmetic number, because the mean of its divisors is an integer number (2529590700).

Almost surely, 2142536551300 is an apocalyptic number.

142536551300 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 142536551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182130530400).

142536551300 is an abundant number, since it is smaller than the sum of its proper divisors (221724509500).

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

142536551300 is a wasteful number, since it uses less digits than its factorization.

142536551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24246 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 142536551300 in words is "one hundred forty-two billion, five hundred thirty-six million, five hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 419 550 572 650 715 838 1100 1300 1430 1676 2095 2860 3575 4190 4609 5447 7150 8380 9218 10475 10894 14300 18436 20950 21788 23045 23789 27235 41900 46090 47578 54470 59917 92180 95156 108940 115225 118945 119834 136175 230450 237890 239668 261679 272350 299585 309257 460900 475780 523358 544700 594725 599170 618514 1046716 1189450 1198340 1237028 1308395 1497925 1546285 2378900 2616790 2995850 3092570 3401827 5233580 5991700 6185140 6541975 6803654 7731425 9967591 13083950 13607308 15462850 17009135 19935182 26167900 30925700 34018270 39870364 49837955 68036540 85045675 99675910 109643501 129578683 170091350 199351820 219287002 249189775 259157366 340182700 438574004 498379550 518314732 548217505 647893415 996759100 1096435010 1295786830 1425365513 2192870020 2591573660 2741087525 2850731026 3239467075 5482175050 5701462052 6478934150 7126827565 10964350100 12957868300 14253655130 28507310260 35634137825 71268275650 142536551300