Search a number
-
+
246372214140 = 223351335095757
BaseRepresentation
bin1110010101110011101…
…1011010010101111100
3212112221002210020111000
43211130323122111330
513014032241323030
6305103135330300
723541222160413
oct3453473322574
9775832706430
10246372214140
1195538768018
123b8b9680990
131a304600840
14bcd2aac47a
15661e5b9860
hex395ceda57c

246372214140 has 96 divisors (see below), whose sum is σ = 825452228160. Its totient is φ = 60645466368.

The previous prime is 246372214133. The next prime is 246372214159. The reversal of 246372214140 is 41412273642.

246372214140 is a `hidden beast` number, since 2 + 4 + 637 + 2 + 2 + 1 + 4 + 14 + 0 = 666.

246372214140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 246372214095 and 246372214104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17540859 + ... + 17554898.

It is an arithmetic number, because the mean of its divisors is an integer number (8598460710).

Almost surely, 2246372214140 is an apocalyptic number.

246372214140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

246372214140 is an abundant number, since it is smaller than the sum of its proper divisors (579080014020).

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

246372214140 is a wasteful number, since it uses less digits than its factorization.

246372214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35095788 (or 35095780 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 246372214140 its reverse (41412273642), we get a palindrome (287784487782).

The spelling of 246372214140 in words is "two hundred forty-six billion, three hundred seventy-two million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 35095757 70191514 105287271 140383028 175478785 210574542 315861813 350957570 421149084 456244841 526436355 631723626 701915140 912489682 947585439 1052872710 1263447252 1368734523 1579309065 1824979364 1895170878 2105745420 2281224205 2737469046 3158618130 3790341756 4106203569 4562448410 4737927195 5474938092 6317236260 6843672615 8212407138 9124896820 9475854390 12318610707 13687345230 16424814276 18951708780 20531017845 24637221414 27374690460 41062035690 49274442828 61593053535 82124071380 123186107070 246372214140