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1404435243016 = 2313791734212347
BaseRepresentation
bin10100011011111110110…
…111010010000000001000
311222021002111200111002201
4110123332313102000020
5141002240410234031
62553104425205544
7203316133411501
oct24337667220010
94867074614081
101404435243016
114a1688098a93
121a82326308b4
13a258c759420
144bd91699ba8
15267ec70ad61
hex146fedd2008

1404435243016 has 128 divisors (see below), whose sum is σ = 2896470259200. Its totient is φ = 634514549760.

The previous prime is 1404435242993. The next prime is 1404435243023. The reversal of 1404435243016 is 6103425344041.

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 31 ways as a sum of consecutive naturals, for example, 598394755 + ... + 598397101.

It is an arithmetic number, because the mean of its divisors is an integer number (22628673900).

Almost surely, 21404435243016 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 1404435243016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448235129600).

1404435243016 is an abundant number, since it is smaller than the sum of its proper divisors (1492035016184).

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

1404435243016 is a wasteful number, since it uses less digits than its factorization.

1404435243016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 1404435243016 in words is "one trillion, four hundred four billion, four hundred thirty-five million, two hundred forty-three thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 79 104 158 173 316 346 421 632 692 842 1027 1384 1684 2054 2249 2347 3368 4108 4498 4694 5473 8216 8996 9388 10946 13667 17992 18776 21892 27334 30511 33259 43784 54668 61022 66518 72833 109336 122044 133036 145666 177671 185413 244088 266072 291332 355342 370826 406031 432367 582664 710684 741652 812062 864734 946829 988087 1421368 1483304 1624124 1729468 1893658 1976174 2410369 3248248 3458936 3787316 3952348 4820738 5278403 5753807 7574632 7904696 9641476 10556806 11507614 12845131 19282952 21113612 23015228 25690262 32076449 42227224 46030456 51380524 64152898 74799491 78058873 102761048 128305796 149598982 156117746 170939051 256611592 299197964 312235492 341878102 416993837 598395928 624470984 683756204 833987674 1014765349 1367512408 1667975348 2029530698 2222207663 3335950696 4059061396 4444415326 8118122792 8888830652 13504185029 17777661304 27008370058 54016740116 108033480232 175554405377 351108810754 702217621508 1404435243016