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3142123520 = 216543223
BaseRepresentation
bin1011101101001001…
…0000000000000000
322002222110102011012
42323102100000000
522413340423040
61235442340052
7140602415654
oct27322200000
98088412135
103142123520
1113727129a8
1273835a628
133b0c862b3
1421b440a64
15135cb9865
hexbb490000

3142123520 has 136 divisors (see below), whose sum is σ = 7751014656. Its totient is φ = 1222115328.

The previous prime is 3142123511. The next prime is 3142123547. The reversal of 3142123520 is 253212413.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14090129 + ... + 14090351.

Almost surely, 23142123520 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 3142123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875507328).

3142123520 is an abundant number, since it is smaller than the sum of its proper divisors (4608891136).

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

3142123520 is an frugal number, since it uses more digits than its factorization.

3142123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3142123520 is about 56054.6476217628. The cubic root of 3142123520 is about 1464.6743785073.

Adding to 3142123520 its reverse (253212413), we get a palindrome (3395335933).

The spelling of 3142123520 in words is "three billion, one hundred forty-two million, one hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 223 256 320 344 430 446 512 640 688 860 892 1024 1115 1280 1376 1720 1784 2048 2230 2560 2752 3440 3568 4096 4460 5120 5504 6880 7136 8192 8920 9589 10240 11008 13760 14272 16384 17840 19178 20480 22016 27520 28544 32768 35680 38356 40960 44032 47945 55040 57088 65536 71360 76712 81920 88064 95890 110080 114176 142720 153424 163840 176128 191780 220160 228352 285440 306848 327680 352256 383560 440320 456704 570880 613696 704512 767120 880640 913408 1141760 1227392 1409024 1534240 1761280 1826816 2283520 2454784 2818048 3068480 3522560 3653632 4567040 4909568 6136960 7045120 7307264 9134080 9819136 12273920 14090240 14614528 18268160 19638272 24547840 36536320 39276544 49095680 73072640 78553088 98191360 157106176 196382720 314212352 392765440 628424704 785530880 1571061760 3142123520