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40123111104 = 2633103225431
BaseRepresentation
bin100101010111100001…
…100001011011000000
310211120020201020012000
4211113201201123000
51124133004023404
630233213304000
72620200550206
oct452741413300
9124506636160
1040123111104
111601a4a525a
127939195000
133a2572857b
141d28a97076
15109c704339
hex9578616c0

40123111104 has 112 divisors (see below), whose sum is σ = 119100234240. Its totient is φ = 13244463360.

The previous prime is 40123111103. The next prime is 40123111201. The reversal of 40123111104 is 40111132104.

It is a super-4 number, since 4×401231111044 (a number of 44 digits) contains 4444 as substring.

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 (40123111103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65269 + ... + 290699.

Almost surely, 240123111104 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 40123111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59550117120).

40123111104 is an abundant number, since it is smaller than the sum of its proper divisors (78977123136).

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

40123111104 is a wasteful number, since it uses less digits than its factorization.

40123111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225555 (or 225539 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 40123111104 its reverse (40111132104), we get a palindrome (80234243208).

The spelling of 40123111104 in words is "forty billion, one hundred twenty-three million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 192 206 216 288 309 412 432 576 618 824 864 927 1236 1648 1728 1854 2472 2781 3296 3708 4944 5562 6592 7416 9888 11124 14832 19776 22248 29664 44496 59328 88992 177984 225431 450862 676293 901724 1352586 1803448 2028879 2705172 3606896 4057758 5410344 6086637 7213792 8115516 10820688 12173274 14427584 16231032 21641376 23219393 24346548 32462064 43282752 46438786 48693096 64924128 69658179 92877572 97386192 129848256 139316358 185755144 194772384 208974537 278632716 371510288 389544768 417949074 557265432 626923611 743020576 835898148 1114530864 1253847222 1486041152 1671796296 2229061728 2507694444 3343592592 4458123456 5015388888 6687185184 10030777776 13374370368 20061555552 40123111104