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1976821414040 = 2351141499219599
BaseRepresentation
bin11100110001000011101…
…111001111100010011000
320222222112002020200111102
4130301003233033202120
5224342012240222130
64112050023250532
7262551322526504
oct34610357174230
96888462220442
101976821414040
116a2402175120
1227b1555a9a48
1311454b4a7b55
146b970395304
153664d193645
hex1cc43bcf898

1976821414040 has 128 divisors (see below), whose sum is σ = 4980528000000. Its totient is φ = 699902745600.

The previous prime is 1976821414027. The next prime is 1976821414133. The reversal of 1976821414040 is 404141286791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8892161 + ... + 9111759.

It is an arithmetic number, because the mean of its divisors is an integer number (38910375000).

Almost surely, 21976821414040 is an apocalyptic number.

1976821414040 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 1976821414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490264000000).

1976821414040 is an abundant number, since it is smaller than the sum of its proper divisors (3003706585960).

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

1976821414040 is a wasteful number, since it uses less digits than its factorization.

1976821414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220161 (or 220157 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 1976821414040 in words is "one trillion, nine hundred seventy-six billion, eight hundred twenty-one million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 499 820 902 998 1640 1804 1996 2255 2495 3608 3992 4510 4990 5489 9020 9980 10978 18040 19960 20459 21956 27445 40918 43912 54890 81836 102295 109780 163672 204590 219560 219599 225049 409180 439198 450098 818360 878396 900196 1097995 1125245 1756792 1800392 2195990 2250490 2415589 4391980 4500980 4831178 8783960 9001960 9003559 9662356 12077945 18007118 19324712 24155890 36014236 45017795 48311780 72028472 90035590 96623560 99039149 109579901 180071180 198078298 219159802 360142360 396156596 438319604 495195745 547899505 792313192 876639208 990391490 1095799010 1205378911 1980782980 2191598020 2410757822 3961565960 4383196040 4492775941 4821515644 6026894555 8985551882 9643031288 12053789110 17971103764 22463879705 24107578220 35942207528 44927759410 48215156440 49420535351 89855518820 98841070702 179711037640 197682141404 247102676755 395364282808 494205353510 988410707020 1976821414040