Search a number
-
+
1020144329976 = 233592692678219
BaseRepresentation
bin11101101100001010101…
…01110010010011111000
310121112011121112102020110
432312011111302103320
5113203223422024401
62100351533224320
7133463061506022
oct16660525622370
93545147472213
101020144329976
11363705974192
121458643320a0
1375278838615
143753797d012
151b809ee19d6
hexed855724f8

1020144329976 has 64 divisors (see below), whose sum is σ = 2603229840000. Its totient is φ = 333041764736.

The previous prime is 1020144329951. The next prime is 1020144329987. The reversal of 1020144329976 is 6799234410201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958206 + ... + 1720013.

It is an arithmetic number, because the mean of its divisors is an integer number (40675466250).

Almost surely, 21020144329976 is an apocalyptic number.

It is an amenable number.

1020144329976 is an abundant number, since it is smaller than the sum of its proper divisors (1583085510024).

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

1020144329976 is a wasteful number, since it uses less digits than its factorization.

1020144329976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678556 (or 2678552 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1020144329976 in words is "one trillion, twenty billion, one hundred forty-four million, three hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 269 354 472 538 708 807 1076 1416 1614 2152 3228 6456 15871 31742 47613 63484 95226 126968 190452 380904 2678219 5356438 8034657 10712876 16069314 21425752 32138628 64277256 158014921 316029842 474044763 632059684 720440911 948089526 1264119368 1440881822 1896179052 2161322733 2881763644 3792358104 4322645466 5763527288 8645290932 17290581864 42506013749 85012027498 127518041247 170024054996 255036082494 340048109992 510072164988 1020144329976