Search a number
-
+
42721152611423 = 11135915150965881
BaseRepresentation
bin10011011011010110010110…
…01000000011010001011111
312121021002202120122020220012
421231223023020003101133
521044420410032031143
6230505454312313435
711666333662440266
oct1155531310032137
9177232676566805
1042721152611423
1112680a36a025a0
12495b78b6a287b
131aab7836b5290
14a79a0166b5dd
154e141dce7418
hex26dacb20345f

42721152611423 has 64 divisors (see below), whose sum is σ = 51480300211200. Its totient is φ = 34939589760000.

The previous prime is 42721152611383. The next prime is 42721152611443. The reversal of 42721152611423 is 32411625112724.

42721152611423 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42721152611423 - 236 = 42652433134687 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721152611443) 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 63 ways as a sum of consecutive naturals, for example, 648426443 + ... + 648492323.

It is an arithmetic number, because the mean of its divisors is an integer number (804379690800).

Almost surely, 242721152611423 is an apocalyptic number.

42721152611423 is a deficient number, since it is larger than the sum of its proper divisors (8759147599777).

42721152611423 is a wasteful number, since it uses less digits than its factorization.

42721152611423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66624.

The product of its digits is 161280, while the sum is 41.

The spelling of 42721152611423 in words is "forty-two trillion, seven hundred twenty-one billion, one hundred fifty-two million, six hundred eleven thousand, four hundred twenty-three".

Divisors: 1 11 13 59 143 151 509 649 767 1661 1963 5599 6617 8437 8909 21593 30031 65881 72787 76859 97999 115817 330341 390403 724691 845449 856453 999167 1273987 3886979 4294433 4534681 9420983 9948031 10990837 33533429 42756769 49881491 50530727 58950853 109428341 129324403 368867719 435934577 555837997 586933829 648459383 1422568433 1978472311 4795280347 5063547779 6456272119 7630139777 21763195421 25720140043 55699025569 65826121127 83931537547 282921540473 298749318961 724087332397 3286242508571 3883741146493 42721152611423