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2140030621664 = 251373137514379
BaseRepresentation
bin11111001001000011110…
…000111101011111100000
321120120210102011110201222
4133021003300331133200
5240030240314343124
64315041055114212
7310416645102245
oct37110360753740
97516712143658
102140030621664
1175564454a491
122a6903b12968
13126a5b5882a0
14758141ad5cc
153aa0174c25e
hex1f243c3d7e0

2140030621664 has 96 divisors (see below), whose sum is σ = 4633012429920. Its totient is φ = 967063560192.

The previous prime is 2140030621637. The next prime is 2140030621733. The reversal of 2140030621664 is 4661260300412.

It is a super-2 number, since 2×21400306216642 (a number of 25 digits) contains 22 as substring.

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, 3903227 + ... + 4417605.

It is an arithmetic number, because the mean of its divisors is an integer number (48260546145).

Almost surely, 22140030621664 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 2140030621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316506214960).

2140030621664 is an abundant number, since it is smaller than the sum of its proper divisors (2492981808256).

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

2140030621664 is a wasteful number, since it uses less digits than its factorization.

2140030621664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514612 (or 514604 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 2140030621664 in words is "two trillion, one hundred forty billion, thirty million, six hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 137 146 208 274 292 416 548 584 949 1096 1168 1781 1898 2192 2336 3562 3796 4384 7124 7592 10001 14248 15184 20002 28496 30368 40004 56992 80008 130013 160016 260026 320032 514379 520052 1028758 1040104 2057516 2080208 4115032 4160416 6686927 8230064 13373854 16460128 26747708 37549667 53495416 70469923 75099334 106990832 140939846 150198668 213981664 281879692 300397336 488145671 563759384 600794672 916108999 976291342 1127518768 1201589344 1832217998 1952582684 2255037536 3664435996 3905165368 5144304379 7328871992 7810330736 10288608758 14657743984 15620661472 20577217516 29315487968 41154435032 66875956927 82308870064 133751913854 164617740128 267503827708 535007655416 1070015310832 2140030621664