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142517687816 = 237101103244637
BaseRepresentation
bin1000010010111010110…
…1110101011000001000
3111121212022011200011002
42010232231311120020
54313334012002231
6145245520354132
713203502234010
oct2045655653010
9447768150132
10142517687816
1155494579279
1223754a75948
13105933752ba
146c7db64c40
153a91c930cb
hex212eb75608

142517687816 has 64 divisors (see below), whose sum is σ = 311414388480. Its totient is φ = 59886892800.

The previous prime is 142517687779. The next prime is 142517687827. The reversal of 142517687816 is 618786715241.

It is a super-2 number, since 2×1425176878162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460250 + ... + 704886.

It is an arithmetic number, because the mean of its divisors is an integer number (4865849820).

Almost surely, 2142517687816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142517687816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155707194240).

142517687816 is an abundant number, since it is smaller than the sum of its proper divisors (168896700664).

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

142517687816 is a wasteful number, since it uses less digits than its factorization.

142517687816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244854 (or 244850 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 56.

The spelling of 142517687816 in words is "one hundred forty-two billion, five hundred seventeen million, six hundred eighty-seven thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 101 103 202 206 404 412 707 721 808 824 1414 1442 2828 2884 5656 5768 10403 20806 41612 72821 83224 145642 244637 291284 489274 582568 978548 1712459 1957096 3424918 6849836 13699672 24708337 25197611 49416674 50395222 98833348 100790444 172958359 176383277 197666696 201580888 345916718 352766554 691833436 705533108 1383666872 1411066216 2544958711 5089917422 10179834844 17814710977 20359669688 35629421954 71258843908 142517687816