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7142898816 = 27341913607
BaseRepresentation
bin1101010011011111…
…11111110010000000
3200102210121212010000
412221233333302000
5104112040230231
63140441040000
7342002431614
oct65157776200
920383555100
107142898816
113035a86669
121474186000
1389aab9861
144ba917344
152bc1446e6
hex1a9bffc80

7142898816 has 160 divisors (see below), whose sum is σ = 21374369280. Its totient is φ = 2367843840.

The previous prime is 7142898809. The next prime is 7142898859. The reversal of 7142898816 is 6188982417.

It is a super-2 number, since 2×71428988162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1978485 + ... + 1982091.

It is an arithmetic number, because the mean of its divisors is an integer number (133589808).

Almost surely, 27142898816 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 7142898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687184640).

7142898816 is an abundant number, since it is smaller than the sum of its proper divisors (14231470464).

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

7142898816 is a wasteful number, since it uses less digits than its factorization.

7142898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3803 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 7142898816 is about 84515.6720141300. The cubic root of 7142898816 is about 1925.8605308505.

The spelling of 7142898816 in words is "seven billion, one hundred forty-two million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 191 192 216 288 324 382 384 432 573 576 648 764 864 1146 1152 1296 1528 1719 1728 2292 2592 3056 3438 3456 3607 4584 5157 5184 6112 6876 7214 9168 10314 10368 10821 12224 13752 14428 15471 18336 20628 21642 24448 27504 28856 30942 32463 36672 41256 43284 55008 57712 61884 64926 73344 82512 86568 97389 110016 115424 123768 129852 165024 173136 194778 220032 230848 247536 259704 292167 330048 346272 389556 461696 495072 519408 584334 660096 688937 692544 779112 990144 1038816 1168668 1377874 1385088 1558224 1980288 2066811 2077632 2337336 2755748 3116448 4133622 4155264 4674672 5511496 6200433 6232896 8267244 9349344 11022992 12400866 12465792 16534488 18601299 18698688 22045984 24801732 33068976 37202598 37397376 44091968 49603464 55803897 66137952 74405196 88183936 99206928 111607794 132275904 148810392 198413856 223215588 264551808 297620784 396827712 446431176 595241568 793655424 892862352 1190483136 1785724704 2380966272 3571449408 7142898816