Search a number
-
+
10412404002 = 23271113244453
BaseRepresentation
bin10011011001010000…
…01010110100100010
3222212122202221001200
421230220022310202
5132311033412002
64441113542030
7516012654660
oct115450126442
928778687050
1010412404002
114463592270
122027114916
13c9c282900
1470ac35c30
1540e1c1b1c
hex26ca0ad22

10412404002 has 144 divisors (see below), whose sum is σ = 30457747008. Its totient is φ = 2496424320.

The previous prime is 10412403961. The next prime is 10412404007. The reversal of 10412404002 is 20040421401.

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

It is not an unprimeable number, because it can be changed into a prime (10412404007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212008 + ... + 256460.

It is an arithmetic number, because the mean of its divisors is an integer number (211512132).

Almost surely, 210412404002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412404002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228873504).

10412404002 is an abundant number, since it is smaller than the sum of its proper divisors (20045343006).

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

10412404002 is a wasteful number, since it uses less digits than its factorization.

10412404002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44505 (or 44489 counting only the distinct ones).

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

Adding to 10412404002 its reverse (20040421401), we get a palindrome (30452825403).

It can be divided in two parts, 10412 and 404002, that added together give a palindrome (414414).

The spelling of 10412404002 in words is "ten billion, four hundred twelve million, four hundred four thousand, two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 169 182 198 231 234 273 286 338 429 462 507 546 693 819 858 1001 1014 1183 1287 1386 1521 1638 1859 2002 2366 2574 3003 3042 3549 3718 5577 6006 7098 9009 10647 11154 13013 16731 18018 21294 26026 33462 39039 44453 78078 88906 117117 133359 234234 266718 311171 400077 488983 577889 622342 800154 933513 977966 1155778 1466949 1733667 1867026 2800539 2933898 3422881 3467334 4045223 4400847 5201001 5601078 6356779 6845762 7512557 8090446 8801694 10268643 10402002 12135669 12713558 15025114 19070337 20537286 22537671 24271338 30805929 36407007 38140674 44497453 45075342 52587899 57211011 61611858 67613013 72814014 82638127 88994906 105175798 114422022 133492359 135226026 157763697 165276254 247914381 266984718 315527394 400477077 473291091 495828762 578466889 743743143 800954154 946582182 1156933778 1487486286 1735400667 3470801334 5206202001 10412404002