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3314636320002 = 2371929275352027
BaseRepresentation
bin110000001110111111101…
…110000110110100000010
3102201212122201000101201020
4300032333232012310002
5413301333344220002
611014420051450310
7461321530564350
oct60167756066402
912655581011636
103314636320002
111068802876907
12456494bb6996
131b0751a41a97
14b6601c307d0
155b34bd2a2bc
hex303bfb86d02

3314636320002 has 128 divisors (see below), whose sum is σ = 8253222451200. Its totient is φ = 865925738496.

The previous prime is 3314636319959. The next prime is 3314636320019. The reversal of 3314636320002 is 2000236364133.

It is a happy number.

3314636320002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63683913 + ... + 63735939.

It is an arithmetic number, because the mean of its divisors is an integer number (64478300400).

Almost surely, 23314636320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314636320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126611225600).

3314636320002 is an abundant number, since it is smaller than the sum of its proper divisors (4938586131198).

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

3314636320002 is a wasteful number, since it uses less digits than its factorization.

3314636320002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54840.

The product of its (nonzero) digits is 46656, while the sum is 33.

The spelling of 3314636320002 in words is "three trillion, three hundred fourteen billion, six hundred thirty-six million, three hundred twenty thousand, two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 2753 3306 3857 5506 7714 8259 11571 16518 19271 23142 38542 52027 52307 57813 79837 104054 104614 115626 156081 156921 159674 239511 312162 313842 364189 366149 479022 558859 728378 732298 988513 1092567 1098447 1117718 1508783 1516903 1676577 1977026 2185134 2196894 2965539 3017566 3033806 3353154 4526349 4550709 5931078 6919591 9052698 9101418 10561481 10618321 13839182 20758773 21122962 21236642 28666877 31684443 31854963 41517546 57333754 63368886 63709926 86000631 143230331 172001262 200668139 286460662 401336278 429690993 602004417 859381986 1002612317 1204008834 2005224634 2721376289 3007836951 4153679599 5442752578 6015673902 8164128867 8307359198 12461038797 16328257734 19049634023 24922077594 29075757193 38099268046 57148902069 58151514386 78919912381 87227271579 114297804138 157839824762 174454543158 236759737143 473519474286 552439386667 1104878773334 1657318160001 3314636320002