Search a number
-
+
1431563869968 = 243475371168631
BaseRepresentation
bin10100110101001111110…
…110110001111100010000
312001212010010222112010220
4110311033312301330100
5141423320322314333
63013352405553040
7205266326056401
oct24651766617420
95055103875126
101431563869968
11502139535a41
121b1543a15780
13a4cc3c947cb
144d4066219a8
15273891ec8b3
hex14d4fdb1f10

1431563869968 has 160 divisors (see below), whose sum is σ = 3902376517632. Its totient is φ = 451766515200.

The previous prime is 1431563869951. The next prime is 1431563869973. The reversal of 1431563869968 is 8699683651341.

It is a super-2 number, since 2×14315638699682 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8405013 + ... + 8573643.

Almost surely, 21431563869968 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 1431563869968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951188258816).

1431563869968 is an abundant number, since it is smaller than the sum of its proper divisors (2470812647664).

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

1431563869968 is a wasteful number, since it uses less digits than its factorization.

1431563869968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168813 (or 168807 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 69.

The spelling of 1431563869968 in words is "one trillion, four hundred thirty-one billion, five hundred sixty-three million, eight hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 53 71 94 106 141 142 159 188 212 213 282 284 318 376 424 426 564 568 636 752 848 852 1128 1136 1272 1704 2256 2491 2544 3337 3408 3763 4982 6674 7473 7526 9964 10011 11289 13348 14946 15052 19928 20022 22578 26696 29892 30104 39856 40044 45156 53392 59784 60208 80088 90312 119568 160176 168631 176861 180624 337262 353722 505893 530583 674524 707444 1011786 1061166 1349048 1414888 2023572 2122332 2698096 2829776 4047144 4244664 7925657 8094288 8489328 8937443 11972801 15851314 17874886 23776971 23945602 26812329 31702628 35749772 35918403 47553942 47891204 53624658 63405256 71499544 71836806 95107884 95782408 107249316 126810512 142999088 143673612 190215768 191564816 214498632 287347224 380431536 420059821 428997264 562721647 574694448 634558453 840119642 1125443294 1260179463 1269116906 1680239284 1688164941 1903675359 2250886588 2520358926 2538233812 3360478568 3376329882 3807350718 4501773176 5040717852 5076467624 6720957136 6752659764 7614701436 9003546352 10081435704 10152935248 13505319528 15229402872 20162871408 27010639056 29824247291 30458805744 59648494582 89472741873 119296989164 178945483746 238593978328 357890967492 477187956656 715781934984 1431563869968