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3621343076142 = 23111013671480261
BaseRepresentation
bin110100101100101000110…
…111100001111100101110
3110211012022121212221021220
4310230220313201330232
5433313002311414032
611411342210004210
7522430154155641
oct64545067417456
913735277787256
103621343076142
111176891838280
124a5a10576666
132036501a2a3c
14c73b9997a58
15642ed1cb12c
hex34b28de1f2e

3621343076142 has 64 divisors (see below), whose sum is σ = 8001088478208. Its totient is φ = 1083550320000.

The previous prime is 3621343076137. The next prime is 3621343076147. The reversal of 3621343076142 is 2416703431263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3621343076137) and next prime (3621343076147).

It is a super-2 number, since 2×36213430761422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3621343076094 and 3621343076103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3621343076147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706292 + ... + 3186552.

It is an arithmetic number, because the mean of its divisors is an integer number (125017007472).

Almost surely, 23621343076142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3621343076142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000544239104).

3621343076142 is an abundant number, since it is smaller than the sum of its proper divisors (4379745402066).

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

3621343076142 is a wasteful number, since it uses less digits than its factorization.

3621343076142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480745.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 3621343076142 in words is "three trillion, six hundred twenty-one billion, three hundred forty-three million, seventy-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 367 606 734 1101 1111 2202 2222 3333 4037 6666 8074 12111 24222 37067 74134 111201 222402 407737 815474 1223211 1480261 2446422 2960522 4440783 8881566 16282871 32565742 48848613 97697226 149506361 299012722 448519083 543255787 897038166 1086511574 1629767361 1644569971 3259534722 3289139942 4933709913 5975813657 9867419826 11951627314 17927440971 35854881942 54868834487 109737668974 164606503461 329213006922 603557179357 1207114358714 1810671538071 3621343076142