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3147219040 = 25572419791
BaseRepresentation
bin1011101110010110…
…1100000001100000
322010100001021220011
42323211230001200
522421142002130
61240143454304
7140663630500
oct27345540140
98110037804
103147219040
111375583279
12739bb7394
133b204b6b4
1421bda9a00
1513647452a
hexbb96c060

3147219040 has 144 divisors (see below), whose sum is σ = 8861094144. Its totient is φ = 1052620800.

The previous prime is 3147219037. The next prime is 3147219067. The reversal of 3147219040 is 409127413.

It is a junction number, because it is equal to n+sod(n) for n = 3147218993 and 3147219011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316545 + ... + 326335.

It is an arithmetic number, because the mean of its divisors is an integer number (61535376).

Almost surely, 23147219040 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 3147219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430547072).

3147219040 is an abundant number, since it is smaller than the sum of its proper divisors (5713875104).

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

3147219040 is a wasteful number, since it uses less digits than its factorization.

3147219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3147219040 is about 56100.0805703521. The cubic root of 3147219040 is about 1465.4656954646.

It can be divided in two parts, 314721 and 9040, that added together give a square (323761 = 5692).

The spelling of 3147219040 in words is "three billion, one hundred forty-seven million, two hundred nineteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 490 560 574 656 784 820 980 1120 1148 1312 1435 1568 1640 1960 2009 2296 2870 3280 3920 4018 4592 5740 6560 7840 8036 9184 9791 10045 11480 16072 19582 20090 22960 32144 39164 40180 45920 48955 64288 68537 78328 80360 97910 137074 156656 160720 195820 274148 313312 321440 342685 391640 401431 479759 548296 685370 783280 802862 959518 1096592 1370740 1566560 1605724 1919036 2007155 2193184 2398795 2741480 2810017 3211448 3838072 4014310 4797590 5482960 5620034 6422896 7676144 8028620 9595180 10965920 11240068 12845792 14050085 15352288 16057240 19190360 19670119 22480136 28100170 32114480 38380720 39340238 44960272 56200340 64228960 76761440 78680476 89920544 98350595 112400680 157360952 196701190 224801360 314721904 393402380 449602720 629443808 786804760 1573609520 3147219040