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464242322341 = 72193789163929
BaseRepresentation
bin1101100000101101111…
…11111010101110100101
31122101021211211110221201
412300112333322232211
530101232013303331
6553134152042501
745353233426300
oct6602677725645
91571254743851
10464242322341
1116997a762a86
1275b81993431
1334a15c71b25
1418680247b37
15c1217daa61
hex6c16ffaba5

464242322341 has 96 divisors (see below), whose sum is σ = 594644976000. Its totient is φ = 360055922688.

The previous prime is 464242322287. The next prime is 464242322363. The reversal of 464242322341 is 143223242464.

It is not a de Polignac number, because 464242322341 - 213 = 464242314149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 464242322341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464242322371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499722165 + ... + 499723093.

It is an arithmetic number, because the mean of its divisors is an integer number (6194218500).

Almost surely, 2464242322341 is an apocalyptic number.

It is an amenable number.

464242322341 is a deficient number, since it is larger than the sum of its proper divisors (130402653659).

464242322341 is a wasteful number, since it uses less digits than its factorization.

464242322341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its digits is 221184, while the sum is 37.

The spelling of 464242322341 in words is "four hundred sixty-four billion, two hundred forty-two million, three hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 7 19 37 49 89 133 163 259 623 703 929 931 1141 1691 1813 3097 3293 4361 4921 6031 6503 7987 11837 14507 17651 21679 23051 34373 34447 42217 45521 62567 82681 82859 101549 114589 123557 151427 151753 161357 240611 275633 295519 437969 536759 578767 653087 710843 802123 864899 1059989 1570939 1684277 1929431 2877113 3059197 3065783 3757313 4051369 4571609 5602799 5614861 7419923 10198421 10996573 13477003 13506017 20139791 21414379 26301191 32001263 39219593 58124743 71388947 76976011 94339021 106453181 140978537 149900653 256063057 274537151 406873201 498649111 499722629 660373147 745172267 1792441399 2848112407 3490543777 5216205869 9474333109 12547089793 24433806439 66320331763 464242322341