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1414036419936 = 25372843740141
BaseRepresentation
bin10100100100111011001…
…000110111010101100000
312000011212121222210210220
4110210323020313111200
5141131421310414221
63001333243523040
7204106066153110
oct24447310672540
95004777883726
101414036419936
114a5764771348
121aa071b29480
13a345c927bba
144c622883040
1526bb05890c6
hex1493b237560

1414036419936 has 96 divisors (see below), whose sum is σ = 4243607117568. Its totient is φ = 403867752960.

The previous prime is 1414036419923. The next prime is 1414036419977. The reversal of 1414036419936 is 6399146304141.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540426 + ... + 2280566.

It is an arithmetic number, because the mean of its divisors is an integer number (44204240808).

Almost surely, 21414036419936 is an apocalyptic number.

1414036419936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1414036419936 is an abundant number, since it is smaller than the sum of its proper divisors (2829570697632).

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

1414036419936 is a wasteful number, since it uses less digits than its factorization.

1414036419936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743004 (or 742996 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 1414036419936 in words is "one trillion, four hundred fourteen billion, thirty-six million, four hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2843 5686 8529 11372 17058 19901 22744 34116 39802 45488 59703 68232 79604 90976 119406 136464 159208 238812 272928 318416 477624 636832 740141 955248 1480282 1910496 2220423 2960564 4440846 5180987 5921128 8881692 10361974 11842256 15542961 17763384 20723948 23684512 31085922 35526768 41447896 62171844 71053536 82895792 124343688 165791584 248687376 497374752 2104220863 4208441726 6312662589 8416883452 12625325178 14729546041 16833766904 25250650356 29459092082 33667533808 44188638123 50501300712 58918184164 67335067616 88377276246 101002601424 117836368328 176754552492 202005202848 235672736656 353509104984 471345473312 707018209968 1414036419936