Search a number
-
+
151045542402340 = 225173712006799873
BaseRepresentation
bin100010010110000000000111…
…111001100101100100100100
3201210210210221112221222002211
4202112000013321211210210
5124244212232323333330
61253125210402213204
743546452230426545
oct4226000771454444
9653723845858084
10151045542402340
1144145066a340a3
1214b3577a654204
1366386c2225b01
1429429011644cc
15126e094025d2a
hex896007e65924

151045542402340 has 48 divisors (see below), whose sum is σ = 344931346780272. Its totient is φ = 55327333810176.

The previous prime is 151045542402283. The next prime is 151045542402347. The reversal of 151045542402340 is 43204245540151.

It can be written as a sum of positive squares in 8 ways, for example, as 32971413821476 + 118074128580864 = 5742074^2 + 10866192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151045542402293 and 151045542402302.

It is not an unprimeable number, because it can be changed into a prime (151045542402347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6003387357 + ... + 6003412516.

It is an arithmetic number, because the mean of its divisors is an integer number (7186069724589).

Almost surely, 2151045542402340 is an apocalyptic number.

151045542402340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151045542402340 is an abundant number, since it is smaller than the sum of its proper divisors (193885804377932).

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

151045542402340 is a wasteful number, since it uses less digits than its factorization.

151045542402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006799936 (or 12006799934 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 151045542402340 its reverse (43204245540151), we get a palindrome (194249787942491).

The spelling of 151045542402340 in words is "one hundred fifty-one trillion, forty-five billion, five hundred forty-two million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 12006799873 24013599746 48027199492 60033999365 120067998730 204115597841 240135997460 408231195682 444251595301 816462391364 888503190602 1020577989205 1777006381204 2041155978410 2221257976505 4082311956820 4442515953010 7552277120117 8885031906020 15104554240234 30209108480468 37761385600585 75522771201170 151045542402340