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399319996140 = 22325131439118589
BaseRepresentation
bin1011100111110010101…
…00111001011011101100
31102011201022000121001200
411303321110321123230
523020301404334030
6503240045205500
740564343651322
oct5637124713354
91364638017050
10399319996140
1114439480043a
1265483560890
132b86a7b06b0
1415481b51d12
15a5c1d75d60
hex5cf95396ec

399319996140 has 144 divisors (see below), whose sum is σ = 1305362822400. Its totient is φ = 98225017344.

The previous prime is 399319996139. The next prime is 399319996183. The reversal of 399319996140 is 41699913993.

399319996140 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 1 + 9 + 9 + 9 + 614 + 0 = 666.

It is a super-2 number, since 2×3993199961402 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 3307966 + ... + 3426554.

It is an arithmetic number, because the mean of its divisors is an integer number (9065019600).

Almost surely, 2399319996140 is an apocalyptic number.

399319996140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399319996140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652681411200).

399319996140 is an abundant number, since it is smaller than the sum of its proper divisors (906042826260).

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

399319996140 is a wasteful number, since it uses less digits than its factorization.

399319996140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120056 (or 120051 counting only the distinct ones).

The product of its (nonzero) digits is 12754584, while the sum is 63.

The spelling of 399319996140 in words is "three hundred ninety-nine billion, three hundred nineteen million, nine hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1439 2340 2878 4317 5756 7195 8634 12951 14390 17268 18707 21585 25902 28780 37414 43170 51804 56121 64755 74828 86340 93535 112242 118589 129510 168363 187070 224484 237178 259020 280605 336726 355767 374140 474356 561210 592945 673452 711534 841815 1067301 1122420 1185890 1423068 1541657 1683630 1778835 2134602 2371780 3083314 3367260 3557670 4269204 4624971 5336505 6166628 7115340 7708285 9249942 10673010 13874913 15416570 18499884 21346020 23124855 27749826 30833140 46249710 55499652 69374565 92499420 138749130 170649571 277498260 341299142 511948713 682598284 853247855 1023897426 1535846139 1706495710 2047794852 2218444423 2559743565 3071692278 3412991420 4436888846 5119487130 6143384556 6655333269 7679230695 8873777692 10238974260 11092222115 13310666538 15358461390 19965999807 22184444230 26621333076 30716922780 33276666345 39931999614 44368888460 66553332690 79863999228 99829999035 133106665380 199659998070 399319996140