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3111145152444 = 2232741301117417
BaseRepresentation
bin101101010001011110101…
…100111001111110111100
3102000102102001111000122200
4231101132230321332330
5401433111124334234
610341123525511500
7440526035315310
oct55213654717674
912012361430580
103111145152444
11a9a47a37086a
12422b64272590
131974c23595b4
14aa81a20db40
1555ddc140d99
hex2d45eb39fbc

3111145152444 has 72 divisors (see below), whose sum is σ = 9206966172768. Its totient is φ = 867218158080.

The previous prime is 3111145152419. The next prime is 3111145152461. The reversal of 3111145152444 is 4442515411113.

3111145152444 is a `hidden beast` number, since 3 + 1 + 1 + 114 + 51 + 52 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3111145152399 and 3111145152408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150548377 + ... + 150569040.

Almost surely, 23111145152444 is an apocalyptic number.

It is an amenable number.

3111145152444 is an abundant number, since it is smaller than the sum of its proper divisors (6095821020324).

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

3111145152444 is a wasteful number, since it uses less digits than its factorization.

3111145152444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301117475 (or 301117470 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 3111145152444 in words is "three trillion, one hundred eleven billion, one hundred forty-five million, one hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 301117417 602234834 903352251 1204469668 1806704502 2107821919 2710056753 3613409004 4215643838 5420113506 6323465757 8431287676 10840227012 12345814097 12646931514 18970397271 24691628194 25293863028 37037442291 37940794542 49383256388 74074884582 75881589084 86420698679 111112326873 148149769164 172841397358 222224653746 259262096037 345682794716 444449307492 518524192074 777786288111 1037048384148 1555572576222 3111145152444