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430201340312240 = 24571316079661037
BaseRepresentation
bin110000111010001000000111…
…0000100100011101010110000
32002102012211212002021110212102
41201310100032010203222300
5422341404321104442430
64122543433431515532
7156421010153624450
oct14164201604435260
92072184762243772
10430201340312240
1111509140030a312
12402bba9a528ba8
1315607a73889b23
147833bdaacbd60
1534b07cdd81345
hex187440e123ab0

430201340312240 has 160 divisors (see below), whose sum is σ = 1153730123403264. Its totient is φ = 146130511887360.

The previous prime is 430201340312201. The next prime is 430201340312339. The reversal of 430201340312240 is 42213043102034.

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 31 ways as a sum of consecutive naturals, for example, 39699002 + ... + 49360038.

Almost surely, 2430201340312240 is an apocalyptic number.

430201340312240 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 430201340312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576865061701632).

430201340312240 is an abundant number, since it is smaller than the sum of its proper divisors (723528783091024).

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

430201340312240 is a wasteful number, since it uses less digits than its factorization.

430201340312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661795 (or 9661789 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 430201340312240 its reverse (42213043102034), we get a palindrome (472414383414274).

The spelling of 430201340312240 in words is "four hundred thirty trillion, two hundred one billion, three hundred forty million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 607 655 917 1048 1214 1310 1834 2096 2428 2620 3035 3668 4249 4585 4856 5240 6070 7336 8498 9170 9712 10480 12140 14672 16996 18340 21245 24280 33992 36680 42490 48560 67984 73360 79517 84980 159034 169960 318068 339920 397585 556619 636136 795170 1113238 1272272 1590340 2226476 2783095 3180680 4452952 5566190 6361360 8905904 9661037 11132380 19322074 22264760 38644148 44529520 48305185 67627259 77288296 96610370 135254518 154576592 193220740 270509036 338136295 386441480 541018072 676272590 772882960 1082036144 1265595847 1352545180 2531191694 2705090360 5062383388 5410180720 5864249459 6327979235 8859170929 10124766776 11728498918 12655958470 17718341858 20249533552 23456997836 25311916940 29321247295 35436683716 41049746213 44295854645 46913995672 50623833880 58642494590 70873367432 82099492426 88591709290 93827991344 101247667760 117284989180 141746734864 164198984852 177183418580 205248731065 234569978360 328397969704 354366837160 410497462130 469139956720 656795939408 708733674320 768216679129 820994924260 1536433358258 1641989848520 3072866716516 3283979697040 3841083395645 5377516753903 6145733433032 7682166791290 10755033507806 12291466866064 15364333582580 21510067015612 26887583769515 30728667165160 43020134031224 53775167539030 61457334330320 86040268062448 107550335078060 215100670156120 430201340312240