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40040451132 = 22311972103313
BaseRepresentation
bin100101010010100110…
…001100110000111100
310211100111011200000120
4211102212030300330
51124000323414012
630221101454540
72615145135063
oct452246146074
9124314150016
1040040451132
1115a87877630
127915571450
133a11576546
141d1badb1da
15109532758c
hex95298cc3c

40040451132 has 144 divisors (see below), whose sum is σ = 104314758912. Its totient is φ = 11853803520.

The previous prime is 40040451127. The next prime is 40040451151. The reversal of 40040451132 is 23115404004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127924608 + ... + 127924920.

It is an arithmetic number, because the mean of its divisors is an integer number (724408048).

Almost surely, 240040451132 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 40040451132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157379456).

40040451132 is an abundant number, since it is smaller than the sum of its proper divisors (64274307780).

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

40040451132 is a wasteful number, since it uses less digits than its factorization.

40040451132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40040451132 its reverse (23115404004), we get a palindrome (63155855136).

The spelling of 40040451132 in words is "forty billion, forty million, four hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 103 132 194 206 291 309 313 388 412 582 618 626 939 1067 1133 1164 1236 1252 1878 2134 2266 3201 3399 3443 3756 4268 4532 6402 6798 6886 9409 9991 10329 12804 13596 13772 18818 19982 20658 28227 29973 30361 32239 37636 39964 41316 56454 59946 60722 64478 91083 96717 103499 109901 112908 119892 121444 128956 182166 193434 206998 219802 310497 329703 333971 354629 364332 386868 413996 439604 620994 659406 667942 709258 969127 1001913 1063887 1241988 1318812 1335884 1418516 1938254 2003826 2127774 2907381 2945017 3127183 3876508 4007652 4255548 5814762 5890034 6254366 8835051 9381549 10660397 11629524 11780068 12508732 17670102 18763098 21320794 31981191 32395187 34399013 35340204 37526196 42641588 63962382 64790374 68798026 97185561 103197039 127924764 129580748 137596052 194371122 206394078 303336751 388742244 412788156 606673502 910010253 1213347004 1820020506 3336704261 3640041012 6673408522 10010112783 13346817044 20020225566 40040451132