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10400144202 = 234713676709
BaseRepresentation
bin10011010111110010…
…11001101101001010
3222211210201001210000
421223321121231022
5132244414103302
64435555103430
7515503524060
oct115371315512
928753631700
1010400144202
1144576792a8
122022ba1b76
13c9987c5a6
14709364030
1540d09e31c
hex26be59b4a

10400144202 has 80 divisors (see below), whose sum is σ = 26656629120. Its totient is φ = 2968853472.

The previous prime is 10400144191. The next prime is 10400144221. The reversal of 10400144202 is 20244100401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1546824 + ... + 1553532.

It is an arithmetic number, because the mean of its divisors is an integer number (333207864).

Almost surely, 210400144202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400144202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328314560).

10400144202 is an abundant number, since it is smaller than the sum of its proper divisors (16256484918).

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

10400144202 is a wasteful number, since it uses less digits than its factorization.

10400144202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10400144202 its reverse (20244100401), we get a palindrome (30644244603).

The spelling of 10400144202 in words is "ten billion, four hundred million, one hundred forty-four thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1367 2734 4101 6709 8202 9569 12303 13418 19138 20127 24606 28707 36909 40254 46963 57414 60381 73818 86121 93926 110727 120762 140889 172242 181143 221454 258363 281778 362286 422667 516726 543429 775089 845334 1086858 1268001 1550178 2536002 3804003 7608006 9171203 18342406 27513609 55027218 64198421 82540827 128396842 165081654 192595263 247622481 385190526 495244962 577785789 742867443 1155571578 1485734886 1733357367 3466714734 5200072101 10400144202