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143436465040 = 245111765314683
BaseRepresentation
bin1000010110010101111…
…0101100001110010000
3111201020100000101120011
42011211132230032100
54322224213340130
6145521021124304
713235326556551
oct2054536541620
9451210011504
10143436465040
11559161661a0
12239706b9694
13106ab81466b
146d29bac328
153ae777d52a
hex21657ac390

143436465040 has 160 divisors (see below), whose sum is σ = 385823627136. Its totient is φ = 49012039680.

The previous prime is 143436465031. The next prime is 143436465049. The reversal of 143436465040 is 40564634341.

It is an interprime number because it is at equal distance from previous prime (143436465031) and next prime (143436465049).

It is a super-2 number, since 2×1434364650402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 143436464984 and 143436465002.

It is not an unprimeable number, because it can be changed into a prime (143436465049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9761539 + ... + 9776221.

Almost surely, 2143436465040 is an apocalyptic number.

143436465040 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 143436465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192911813568).

143436465040 is an abundant number, since it is smaller than the sum of its proper divisors (242387162096).

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

143436465040 is a wasteful number, since it uses less digits than its factorization.

143436465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 143436465040 in words is "one hundred forty-three billion, four hundred thirty-six million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 653 680 748 880 935 1306 1360 1496 1870 2612 2992 3265 3740 5224 6530 7183 7480 10448 11101 13060 14366 14683 14960 22202 26120 28732 29366 35915 44404 52240 55505 57464 58732 71830 73415 88808 111010 114928 117464 122111 143660 146830 161513 177616 222020 234928 244222 249611 287320 293660 323026 444040 488444 499222 574640 587320 610555 646052 807565 888080 976888 998444 1174640 1221110 1248055 1292104 1615130 1953776 1996888 2442220 2496110 2584208 2745721 3230260 3993776 4884440 4992220 5491442 6460520 9587999 9768880 9984440 10982884 12921040 13728605 19175998 19968880 21965768 27457210 38351996 43931536 47939995 54914420 76703992 95879990 105467989 109828840 153407984 162995983 191759980 210935978 219657680 325991966 383519960 421871956 527339945 651983932 767039920 814979915 843743912 1054679890 1303967864 1629959830 1687487824 1792955813 2109359780 2607935728 3259919660 3585911626 4218719560 6519839320 7171823252 8437439120 8964779065 13039678640 14343646504 17929558130 28687293008 35859116260 71718232520 143436465040