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342442032207 = 311192235323581
BaseRepresentation
bin1001111101110110010…
…00101011110001001111
31012201220101002122122220
410332323020223301033
521102310130012312
6421152105110423
733512014150512
oct4767310536117
91181811078586
10342442032207
11122257666280
125644b188413
13263a4ac5632
1412807b90d79
158d93770c8c
hex4fbb22bc4f

342442032207 has 96 divisors (see below), whose sum is σ = 558922830336. Its totient is φ = 184512556800.

The previous prime is 342442032157. The next prime is 342442032281. The reversal of 342442032207 is 702230244243.

It is not a de Polignac number, because 342442032207 - 26 = 342442032143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342442032287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14510157 + ... + 14533737.

It is an arithmetic number, because the mean of its divisors is an integer number (5822112816).

Almost surely, 2342442032207 is an apocalyptic number.

342442032207 is a deficient number, since it is larger than the sum of its proper divisors (216480798129).

342442032207 is a wasteful number, since it uses less digits than its factorization.

342442032207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23709 (or 23690 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The spelling of 342442032207 in words is "three hundred forty-two billion, four hundred forty-two million, thirty-two thousand, two hundred seven".

Divisors: 1 3 11 19 23 33 53 57 69 159 209 253 361 437 583 627 759 1007 1083 1219 1311 1749 3021 3657 3971 4807 8303 11077 11913 13409 14421 19133 23161 23581 24909 33231 40227 57399 69483 70743 91333 210463 254771 259391 273999 440059 448039 542363 631389 764313 778173 1249793 1320177 1344117 1627089 3749379 4840649 4928429 5965993 8512741 10304897 13747723 14521947 14785287 17897979 23746067 25538223 28745239 30914691 41243169 71238201 86235717 93640151 113353867 195793043 261206737 280920453 316197629 340061601 451175273 546159541 587379129 783620211 948592887 1353525819 1638478623 2153723473 4962928003 6007754951 6461170419 10377031279 14888784009 18023264853 31131093837 114147344069 342442032207