Search a number
-
+
430326352525520 = 245111960914225451
BaseRepresentation
bin110000111011000010010100…
…1011000010011100011010000
32002102122210112101210220101202
41201312010221120103203100
5422400431332221304040
64123121110333250332
7156433024114122533
oct14166045130234320
92072583471726352
10430326352525520
1111512a421463460
12403201689339a8
13156167a72bab69
147839c99994a1a
1534b3b98da2015
hex18761296138d0

430326352525520 has 160 divisors (see below), whose sum is σ = 1149098487989760. Its totient is φ = 148222025280000.

The previous prime is 430326352525499. The next prime is 430326352525613. The reversal of 430326352525520 is 25525253623034.

It is a super-2 number, since 2×4303263525255202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 99728795 + ... + 103954245.

It is an arithmetic number, because the mean of its divisors is an integer number (7181865549936).

Almost surely, 2430326352525520 is an apocalyptic number.

430326352525520 is a gapful number since it is divisible by the number (40) 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 430326352525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574549243994880).

430326352525520 is an abundant number, since it is smaller than the sum of its proper divisors (718772135464240).

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

430326352525520 is a wasteful number, since it uses less digits than its factorization.

430326352525520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231585 (or 4231579 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 47.

The spelling of 430326352525520 in words is "four hundred thirty trillion, three hundred twenty-six billion, three hundred fifty-two million, five hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 6091 8360 12182 16720 24364 30455 48728 60910 67001 97456 115729 121820 134002 231458 243640 268004 335005 462916 487280 536008 578645 670010 925832 1072016 1157290 1273019 1340020 1851664 2314580 2546038 2680040 4225451 4629160 5092076 5360080 6365095 8450902 9258320 10184152 12730190 16901804 20368304 21127255 25460380 33803608 42254510 46479961 50920760 67607216 80283569 84509020 92959922 101841520 160567138 169018040 185919844 232399805 321134276 338036080 371839688 401417845 464799610 642268552 743679376 802835690 883119259 929599220 1284537104 1605671380 1766238518 1859198440 3211342760 3532477036 3718396880 4415596295 6422685520 7064954072 8831192590 14129908144 17662385180 25737222041 35324770360 51474444082 70649540720 102948888164 128686110205 205897776328 257372220410 283109442451 411795552656 489007218779 514744440820 566218884902 978014437558 1029488881640 1132437769804 1415547212255 1956028875116 2058977763280 2264875539608 2445036093895 2831094424510 3912057750232 4529751079216 4890072187790 5379079406569 5662188849020 7824115500464 9780144375580 10758158813138 11324377698040 19560288751160 21516317626276 22648755396080 26895397032845 39120577502320 43032635252552 53790794065690 86065270505104 107581588131380 215163176262760 430326352525520