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40742672355 = 3457111306483
BaseRepresentation
bin100101111100011100…
…111101011111100011
310220011102112012110000
4211330130331133203
51131420111003410
630414504511043
72641433000220
oct457434753743
9126142465400
1040742672355
11163081a3850
127a9077b483
133ac3bb2968
141d87092947
1510d6cd7dc0
hex97c73d7e3

40742672355 has 80 divisors (see below), whose sum is σ = 91056708864. Its totient is φ = 16932006720.

The previous prime is 40742672303. The next prime is 40742672423. The reversal of 40742672355 is 55327624704.

40742672355 is a `hidden beast` number, since 407 + 4 + 2 + 6 + 7 + 235 + 5 = 666.

It is not a de Polignac number, because 40742672355 - 234 = 23562803171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40742672355.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 622057 + ... + 684426.

Almost surely, 240742672355 is an apocalyptic number.

40742672355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40742672355 is an abundant number, since it is smaller than the sum of its proper divisors (50314036509).

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

40742672355 is a wasteful number, since it uses less digits than its factorization.

40742672355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306518 (or 1306509 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 40742672355 in words is "forty billion, seven hundred forty-two million, six hundred seventy-two thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 31185 1306483 3919449 6532415 9145381 11758347 14371313 19597245 27436143 35275041 43113939 45726905 58791735 71856565 82308429 100599191 105825123 129341817 137180715 176375205 215569695 246925287 301797573 388025451 411542145 502995955 529125615 646709085 740775861 905392719 1164076353 1234626435 1508987865 1940127255 2716178157 3703879305 4526963595 5820381765 8148534471 13580890785 40742672355