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141412122011040 = 2535881334402483
BaseRepresentation
bin100000001001110100010011…
…010011001010010110100000
3200112200212101220221022002220
4200021310103103022112200
5122013344011213323130
61220431455414311040
741533455132241146
oct4011642323122640
9615625356838086
10141412122011040
11410705a92a5881
1213a3a749658480
1360ba14b82b46a
1426cc5517d5596
1511536c196d410
hex809d134ca5a0

141412122011040 has 96 divisors (see below), whose sum is σ = 445953802222656. Its totient is φ = 37667095572480.

The previous prime is 141412122011009. The next prime is 141412122011099. The reversal of 141412122011040 is 40110221214141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141412122011040.

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, 166778362 + ... + 167624121.

It is an arithmetic number, because the mean of its divisors is an integer number (4645352106486).

Almost surely, 2141412122011040 is an apocalyptic number.

141412122011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141412122011040 is an abundant number, since it is smaller than the sum of its proper divisors (304541680211616).

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

141412122011040 is a wasteful number, since it uses less digits than its factorization.

141412122011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334403382 (or 334403374 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 141412122011040 its reverse (40110221214141), we get a palindrome (181522343225181).

The spelling of 141412122011040 in words is "one hundred forty-one trillion, four hundred twelve billion, one hundred twenty-two million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 881 1762 2643 3524 4405 5286 7048 8810 10572 13215 14096 17620 21144 26430 28192 35240 42288 52860 70480 84576 105720 140960 211440 422880 334402483 668804966 1003207449 1337609932 1672012415 2006414898 2675219864 3344024830 4012829796 5016037245 5350439728 6688049660 8025659592 10032074490 10700879456 13376099320 16051319184 20064148980 26752198640 32102638368 40128297960 53504397280 80256595920 160513191840 294608587523 589217175046 883825762569 1178434350092 1473042937615 1767651525138 2356868700184 2946085875230 3535303050276 4419128812845 4713737400368 5892171750460 7070606100552 8838257625690 9427474800736 11784343500920 14141212201104 17676515251380 23568687001840 28282424402208 35353030502760 47137374003680 70706061005520 141412122011040