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10142551666320 = 243564185377291
BaseRepresentation
bin1001001110010111111100…
…1100000110111010010000
31022220121200212100012201120
42103211333030012322100
52312133421211310240
633323231322002240
72064526612460103
oct223457714067220
938817625305646
1010142551666320
113260482aaa8a7
121179840046380
13587591569638
14270c8b5ba73a
15128c6eb98ad0
hex9397f306e90

10142551666320 has 160 divisors (see below), whose sum is σ = 31528287310464. Its totient is φ = 2697260236800.

The previous prime is 10142551666319. The next prime is 10142551666337. The reversal of 10142551666320 is 2366615524101.

10142551666320 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131186875 + ... + 131264165.

Almost surely, 210142551666320 is an apocalyptic number.

10142551666320 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 10142551666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764143655232).

10142551666320 is an abundant number, since it is smaller than the sum of its proper divisors (21385735644144).

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

10142551666320 is a wasteful number, since it uses less digits than its factorization.

10142551666320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78801 (or 78795 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 10142551666320 in words is "ten trillion, one hundred forty-two billion, five hundred fifty-one million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 641 853 1282 1706 1923 2559 2564 3205 3412 3846 4265 5118 5128 6410 6824 7692 8530 9615 10236 10256 12795 12820 13648 15384 17060 19230 20472 25590 25640 30768 34120 38460 40944 51180 51280 68240 76920 77291 102360 153840 154582 204720 231873 309164 386455 463746 546773 618328 772910 927492 1093546 1159365 1236656 1545820 1640319 1854984 2187092 2318730 2733865 3091640 3280638 3709968 4374184 4637460 5467730 6183280 6561276 8201595 8748368 9274920 10935460 13122552 16403190 18549840 21870920 26245104 32806380 43741840 49543531 65612760 65929223 99087062 131225520 131858446 148630593 197787669 198174124 247717655 263716892 297261186 329646115 395575338 396348248 495435310 527433784 594522372 659292230 743152965 791150676 792696496 988938345 990870620 1054867568 1189044744 1318584460 1486305930 1582301352 1977876690 1981741240 2378089488 2637168920 2972611860 3164602704 3955753380 3963482480 5274337840 5945223720 7911506760 11890447440 15823013520 42260631943 84521263886 126781895829 169042527772 211303159715 253563791658 338085055544 422606319430 507127583316 633909479145 676170111088 845212638860 1014255166632 1267818958290 1690425277720 2028510333264 2535637916580 3380850555440 5071275833160 10142551666320