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1514142440 = 235237983251
BaseRepresentation
bin101101000111111…
…1111101011101000
310220112010101221122
41122033333223220
511100110024230
6410125154412
752343666306
oct13217775350
93815111848
101514142440
1170776a698
123630bba08
131b1904495
14105145276
158cddebe5
hex5a3ffae8

1514142440 has 128 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 562848000.

The previous prime is 1514142419. The next prime is 1514142449. The reversal of 1514142440 is 442414151.

It is not an unprimeable number, because it can be changed into a prime (1514142449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6032315 + ... + 6032565.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 21514142440 is an apocalyptic number.

1514142440 is a gapful number since it is divisible by the number (10) 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 1514142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1514142440 is an abundant number, since it is smaller than the sum of its proper divisors (2143687960).

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

1514142440 is a wasteful number, since it uses less digits than its factorization.

1514142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1514142440 is about 38911.9832442398. The cubic root of 1514142440 is about 1148.3005623196.

Adding to 1514142440 its reverse (442414151), we get a palindrome (1956556591).

The spelling of 1514142440 in words is "one billion, five hundred fourteen million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 83 92 115 158 166 184 230 251 316 332 395 415 460 502 632 664 790 830 920 1004 1255 1580 1660 1817 1909 2008 2510 3160 3320 3634 3818 5020 5773 6557 7268 7636 9085 9545 10040 11546 13114 14536 15272 18170 19090 19829 20833 23092 26228 28865 32785 36340 38180 39658 41666 46184 52456 57730 65570 72680 76360 79316 83332 99145 104165 115460 131140 150811 158632 166664 198290 208330 230920 262280 301622 396580 416660 456067 479159 603244 754055 793160 833320 912134 958318 1206488 1508110 1645807 1824268 1916636 2280335 2395795 3016220 3291614 3648536 3833272 4560670 4791590 6032440 6583228 8229035 9121340 9583180 13166456 16458070 18242680 19166360 32916140 37853561 65832280 75707122 151414244 189267805 302828488 378535610 757071220 1514142440