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1441074106068 = 22323139163230449
BaseRepresentation
bin10100111110000110101…
…101011100111011010100
312002202122221011120111120
4110332012231130323110
5142102304432343233
63022004215203540
7206054105536302
oct24760655347324
95082587146446
101441074106068
115061798450a3
121b33589765b0
13a5b7b37204c
144da696d5272
15277440b54b3
hex14f86b5ced4

1441074106068 has 96 divisors (see below), whose sum is σ = 3555640704000. Its totient is φ = 453366802944.

The previous prime is 1441074106027. The next prime is 1441074106093. The reversal of 1441074106068 is 8606014701441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 6138108 + ... + 6368556.

It is an arithmetic number, because the mean of its divisors is an integer number (37037924000).

Almost surely, 21441074106068 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 1441074106068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777820352000).

1441074106068 is an abundant number, since it is smaller than the sum of its proper divisors (2114566597932).

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

1441074106068 is a wasteful number, since it uses less digits than its factorization.

1441074106068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230781 (or 230779 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 1441074106068 in words is "one trillion, four hundred forty-one billion, seventy-four million, one hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 163 276 278 326 417 489 556 652 834 978 1668 1956 3197 3749 6394 7498 9591 11247 12788 14996 19182 22494 22657 38364 44988 45314 67971 90628 135942 230449 271884 460898 521111 691347 921796 1042222 1382694 1563333 2084444 2765388 3126666 5300327 6253332 10600654 15900981 21201308 31801962 32032411 37563187 63603924 64064822 75126374 96097233 112689561 128129644 150252748 192194466 225379122 384388932 450758244 736745453 863953301 1473490906 1727906602 2210236359 2591859903 2946981812 3455813204 4420472718 5183719806 5221282993 8840945436 10367439612 10442565986 15663848979 20885131972 31327697958 62655395916 120089508839 240179017678 360268526517 480358035356 720537053034 1441074106068