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40119655179940 = 22572907158328513
BaseRepresentation
bin10010001111101000101011…
…10010111010011010100100
312021001101211202020221121121
421013310111302322122210
520224310023211224230
6221154414250023324
711310356312224600
oct1107642562723244
9167041752227547
1040119655179940
1111868717482836
1245bb55b417b44
1319503621c059b
149c9b31b02500
1549890e7ad77a
hex247d15cba6a4

40119655179940 has 144 divisors (see below), whose sum is σ = 98180065412352. Its totient is φ = 13730983225344.

The previous prime is 40119655179899. The next prime is 40119655179941. The reversal of 40119655179940 is 4997155691104.

40119655179940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×401196551799403 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40119655179941) 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 47 ways as a sum of consecutive naturals, for example, 1407051124 + ... + 1407079636.

It is an arithmetic number, because the mean of its divisors is an integer number (681806009808).

Almost surely, 240119655179940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40119655179940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49090032706176).

40119655179940 is an abundant number, since it is smaller than the sum of its proper divisors (58060410232412).

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

40119655179940 is a wasteful number, since it uses less digits than its factorization.

40119655179940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31026 (or 31017 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 61.

The spelling of 40119655179940 in words is "forty trillion, one hundred nineteen billion, six hundred fifty-five million, one hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 907 980 1583 1814 3166 3628 4535 6332 6349 7915 9070 11081 12698 15830 18140 22162 25396 28513 31660 31745 44324 44443 55405 57026 63490 77567 88886 110810 114052 126980 142565 155134 177772 199591 221620 222215 285130 310268 387835 399182 444430 570260 775670 798364 888860 997955 1397137 1435781 1551340 1995910 2794274 2871562 3991820 5588548 5743124 6985685 7178905 10050467 13971370 14357810 20100934 25861291 27942740 28715620 40201868 45136079 50252335 51722582 70353269 90272158 100504670 103445164 129306455 140706538 180544316 181029037 201009340 225680395 258612910 281413076 315952553 351766345 362058074 451360790 517225820 631905106 703532690 724116148 902721580 905145185 1263810212 1267203259 1407065380 1579762765 1810290370 2211667871 2534406518 3159525530 3620580740 4423335742 5068813036 6319051060 6336016295 8846671484 11058339355 12672032590 22116678710 25344065180 40938423653 44233357420 81876847306 163753694612 204692118265 286568965571 409384236530 573137931142 818768473060 1146275862284 1432844827855 2005982758997 2865689655710 4011965517994 5731379311420 8023931035988 10029913794985 20059827589970 40119655179940