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142162127680 = 26513910513041
BaseRepresentation
bin1000010001100110000…
…1011110101101000000
3111120221112010100100011
42010121201132231000
54312122001041210
6145150335434304
713161624101356
oct2043141365500
9446845110304
10142162127680
11553218a6721
1223675985994
13105377c33a1
146c4884b7d6
153a7095bd8a
hex211985eb40

142162127680 has 112 divisors (see below), whose sum is σ = 341395629120. Its totient is φ = 56383488000.

The previous prime is 142162127659. The next prime is 142162127689. The reversal of 142162127680 is 86721261241.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142162127689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46746960 + ... + 46750000.

It is an arithmetic number, because the mean of its divisors is an integer number (3048175260).

Almost surely, 2142162127680 is an apocalyptic number.

142162127680 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 142162127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170697814560).

142162127680 is an abundant number, since it is smaller than the sum of its proper divisors (199233501440).

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

142162127680 is a wasteful number, since it uses less digits than its factorization.

142162127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 142162127680 in words is "one hundred forty-two billion, one hundred sixty-two million, one hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1051 1112 1390 2102 2224 2780 3041 4204 4448 5255 5560 6082 8408 8896 10510 11120 12164 15205 16816 21020 22240 24328 30410 33632 42040 44480 48656 60820 67264 84080 97312 121640 146089 168160 194624 243280 292178 336320 422699 486560 584356 730445 845398 973120 1168712 1460890 1690796 2113495 2337424 2921780 3196091 3381592 4226990 4674848 5843560 6392182 6763184 8453980 9349696 11687120 12784364 13526368 15980455 16907960 23374240 25568728 27052736 31960910 33815920 46748480 51137456 63921820 67631840 102274912 127843640 135263680 204549824 255687280 444256649 511374560 888513298 1022749120 1777026596 2221283245 3554053192 4442566490 7108106384 8885132980 14216212768 17770265960 28432425536 35540531920 71081063840 142162127680