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40300320432 = 2437312319343
BaseRepresentation
bin100101100010000101…
…100001011010110000
310212000121011101200110
4211202011201122300
51130013340223212
630302543421320
72624452033401
oct454205413260
9125017141613
1040300320432
1116100531249
1279885b4840
133a53363168
141d444259a8
1510ad05aa3c
hex9621616b0

40300320432 has 80 divisors (see below), whose sum is σ = 105632350208. Its totient is φ = 13237240320.

The previous prime is 40300320353. The next prime is 40300320433. The reversal of 40300320432 is 23402300304.

It is a junction number, because it is equal to n+sod(n) for n = 40300320399 and 40300320408.

It is not an unprimeable number, because it can be changed into a prime (40300320433) 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, 4308753 + ... + 4318095.

Almost surely, 240300320432 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 40300320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52816175104).

40300320432 is an abundant number, since it is smaller than the sum of its proper divisors (65332029776).

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

40300320432 is a wasteful number, since it uses less digits than its factorization.

40300320432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 40300320432 its reverse (23402300304), we get a palindrome (63702620736).

The spelling of 40300320432 in words is "forty billion, three hundred million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1231 1752 2462 3504 3693 4924 7386 9343 9848 14772 18686 19696 28029 29544 37372 56058 59088 74744 89863 112116 149488 179726 224232 269589 359452 448464 539178 682039 718904 1078356 1364078 1437808 2046117 2156712 2728156 4092234 4313424 5456312 8184468 10912624 11501233 16368936 23002466 32737872 34503699 46004932 69007398 92009864 138014796 184019728 276029592 552059184 839590009 1679180018 2518770027 3358360036 5037540054 6716720072 10075080108 13433440144 20150160216 40300320432