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2142853704 = 2335472499
BaseRepresentation
bin111111110111001…
…0101101001001000
312112100011020200000
41333232111221020
513342032304304
6552344443000
7104046645615
oct17756255110
95470136600
102142853704
119aa648782
124b9779460
13281c43594
1416484350c
15c81ce939
hex7fb95a48

2142853704 has 144 divisors (see below), whose sum is σ = 6161610000. Its totient is φ = 697686048.

The previous prime is 2142853693. The next prime is 2142853721. The reversal of 2142853704 is 4073582412.

It is a happy number.

2142853704 is a `hidden beast` number, since 2 + 1 + 4 + 285 + 370 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4294047 + ... + 4294545.

Almost surely, 22142853704 is an apocalyptic number.

2142853704 is a gapful number since it is divisible by the number (24) 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 2142853704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080805000).

2142853704 is an abundant number, since it is smaller than the sum of its proper divisors (4018756296).

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

2142853704 is an equidigital number, since it uses as much as digits as its factorization.

2142853704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2142853704 is about 46290.9678447103. The cubic root of 2142853704 is about 1289.2312997358.

The spelling of 2142853704 in words is "two billion, one hundred forty-two million, eight hundred fifty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 499 564 648 846 972 998 1128 1269 1497 1692 1944 1996 2209 2538 2994 3384 3807 3992 4418 4491 5076 5988 6627 7614 8836 8982 10152 11421 11976 13254 13473 15228 17672 17964 19881 22842 23453 26508 26946 30456 35928 39762 40419 45684 46906 53016 53892 59643 70359 79524 80838 91368 93812 107784 119286 121257 140718 159048 161676 178929 187624 211077 238572 242514 281436 323352 357858 422154 477144 485028 536787 562872 633231 715716 844308 970056 1073574 1102291 1266462 1431432 1688616 1899693 2147148 2204582 2532924 3306873 3799386 4294296 4409164 5065848 5699079 6613746 7598772 8818328 9920619 11398158 13227492 15197544 19841238 22796316 26454984 29761857 39682476 45592632 59523714 79364952 89285571 119047428 178571142 238094856 267856713 357142284 535713426 714284568 1071426852 2142853704