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3137175140 = 22511591012393
BaseRepresentation
bin1011101011111101…
…0111111001100100
322002122011000020212
42322333113321210
522411104101030
61235144314552
7140512356131
oct27277277144
98078130225
103137175140
11136a943130
12736772a58
133acc42b68
1421a913588
1513563d595
hexbafd7e64

3137175140 has 96 divisors (see below), whose sum is σ = 7384245120. Its totient is φ = 1109888000.

The previous prime is 3137175131. The next prime is 3137175157. The reversal of 3137175140 is 415717313.

It is a junction number, because it is equal to n+sod(n) for n = 3137175097 and 3137175106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309784 + ... + 1312176.

It is an arithmetic number, because the mean of its divisors is an integer number (76919220).

Almost surely, 23137175140 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 3137175140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692122560).

3137175140 is an abundant number, since it is smaller than the sum of its proper divisors (4247069980).

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

3137175140 is a wasteful number, since it uses less digits than its factorization.

3137175140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 3137175140 is about 56010.4913386769. The cubic root of 3137175140 is about 1463.9050926611.

The spelling of 3137175140 in words is "three billion, one hundred thirty-seven million, one hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 101 110 118 202 220 236 295 404 505 590 649 1010 1111 1180 1298 2020 2222 2393 2596 3245 4444 4786 5555 5959 6490 9572 11110 11918 11965 12980 22220 23836 23930 26323 29795 47860 52646 59590 65549 105292 119180 131098 131615 141187 241693 262196 263230 282374 327745 483386 526460 564748 655490 705935 966772 1208465 1310980 1411870 1553057 2416930 2658623 2823740 3106114 4833860 5317246 6212228 7765285 10634492 13293115 14259887 15530570 26586230 28519774 31061140 53172460 57039548 71299435 142598870 156858757 285197740 313717514 627435028 784293785 1568587570 3137175140