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40214232432 = 24331161138731
BaseRepresentation
bin100101011100111101…
…000111110101110000
310211210121011200011000
4211130331013311300
51124324320414212
630250230322000
72622355223103
oct453475076560
9124717150130
1040214232432
1116066982040
1279637b9300
133a3b580a0a
141d36c1673a
1510a57031dc
hex95cf47d70

40214232432 has 160 divisors (see below), whose sum is σ = 127988593920. Its totient is φ = 11986272000.

The previous prime is 40214232407. The next prime is 40214232433. The reversal of 40214232432 is 23423241204.

40214232432 is a `hidden beast` number, since 402 + 14 + 2 + 3 + 243 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40214232396 and 40214232405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40214232433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220507 + ... + 359237.

It is an arithmetic number, because the mean of its divisors is an integer number (799928712).

Almost surely, 240214232432 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 40214232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63994296960).

40214232432 is an abundant number, since it is smaller than the sum of its proper divisors (87774361488).

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

40214232432 is a wasteful number, since it uses less digits than its factorization.

40214232432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138820 (or 138808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40214232432 its reverse (23423241204), we get a palindrome (63637473636).

The spelling of 40214232432 in words is "forty billion, two hundred fourteen million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 61 66 72 88 99 108 122 132 144 176 183 198 216 244 264 297 366 396 432 488 528 549 594 671 732 792 976 1098 1188 1342 1464 1584 1647 2013 2196 2376 2684 2928 3294 4026 4392 4752 5368 6039 6588 8052 8784 10736 12078 13176 16104 18117 24156 26352 32208 36234 48312 72468 96624 138731 144936 277462 289872 416193 554924 832386 1109848 1248579 1526041 1664772 2219696 2497158 3052082 3329544 3745737 4578123 4994316 6104164 6659088 7491474 8462591 9156246 9988632 12208328 13734369 14982948 16925182 18312492 19977264 24416656 25387773 27468738 29965896 33850364 36624984 41203107 50775546 54937476 59931792 67700728 73249968 76163319 82406214 93088501 101551092 109874952 135401456 152326638 164812428 186177002 203102184 219749904 228489957 279265503 304653276 329624856 372354004 406204368 456979914 558531006 609306552 659249712 744708008 837796509 913959828 1117062012 1218613104 1489416016 1675593018 1827919656 2234124024 2513389527 3351186036 3655839312 4468248048 5026779054 6702372072 10053558108 13404744144 20107116216 40214232432