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40132084427205 = 3537516713994593
BaseRepresentation
bin10010001111111111110101…
…01000101110100111000101
312021002120220222002010111220
421013333322220232213011
520230011002103132310
6221204231451550553
711311306315125231
oct1107777250564705
9167076828063456
1040132084427205
1111872a15466211
124601a49a5b459
131951593266b74
149ca5907395c1
15498ddaa6d670
hex247ffaa2e9c5

40132084427205 has 32 divisors (see below), whose sum is σ = 65959544354304. Its totient is φ = 20821265934336.

The previous prime is 40132084427179. The next prime is 40132084427257. The reversal of 40132084427205 is 50272448023104.

It is a happy number.

It is not a de Polignac number, because 40132084427205 - 28 = 40132084426949 is a prime.

It is a super-3 number, since 3×401320844272053 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129612 + ... + 9864981.

It is an arithmetic number, because the mean of its divisors is an integer number (2061235761072).

Almost surely, 240132084427205 is an apocalyptic number.

It is an amenable number.

40132084427205 is a deficient number, since it is larger than the sum of its proper divisors (25827459927099).

40132084427205 is a wasteful number, since it uses less digits than its factorization.

40132084427205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999805.

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 40132084427205 in words is "forty trillion, one hundred thirty-two billion, eighty-four million, four hundred twenty-seven thousand, two hundred five".

Divisors: 1 3 5 15 37 111 185 555 5167 15501 25835 77505 191179 573537 955895 2867685 13994593 41983779 69972965 209918895 517799941 1553399823 2588999705 7766999115 72310062031 216930186093 361550310155 1084650930465 2675472295147 8026416885441 13377361475735 40132084427205