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150361364241 = 32112959887669
BaseRepresentation
bin1000110000001000111…
…1000101011100010001
3112101002221102201102100
42030002033011130101
54430420002123431
6153024113511013
713602044336214
oct2140217053421
9471087381370
10150361364241
115884a085490
1225183872469
13112433b415a
1473c577977b
153da06b04e6
hex23023c5711

150361364241 has 48 divisors (see below), whose sum is σ = 249257736000. Its totient is φ = 86494369920.

The previous prime is 150361364239. The next prime is 150361364243. The reversal of 150361364241 is 142463163051.

150361364241 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 6 + 1 + 3 + 642 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (150361364239) and next prime (150361364243).

It is not a de Polignac number, because 150361364241 - 21 = 150361364239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150361364196 and 150361364205.

It is not an unprimeable number, because it can be changed into a prime (150361364243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274446 + ... + 613223.

It is an arithmetic number, because the mean of its divisors is an integer number (5192869500).

Almost surely, 2150361364241 is an apocalyptic number.

150361364241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

150361364241 is a deficient number, since it is larger than the sum of its proper divisors (98896371759).

150361364241 is a wasteful number, since it uses less digits than its factorization.

150361364241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887774 (or 887771 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 150361364241 in words is "one hundred fifty billion, three hundred sixty-one million, three hundred sixty-four thousand, two hundred forty-one".

Divisors: 1 3 9 11 29 33 59 87 99 177 261 319 531 649 957 1711 1947 2871 5133 5841 15399 18821 56463 169389 887669 2663007 7989021 9764359 25742401 29293077 52372471 77227203 87879231 157117413 231681609 283166411 471352239 576097181 849499233 1518801659 1728291543 2548497699 4556404977 5184874629 13669214931 16706818249 50120454747 150361364241