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10431014040 = 2332548759497
BaseRepresentation
bin10011011011011110…
…01010010010011000
3222220221210102020100
421231233022102120
5132330314422130
64443020455400
7516330104436
oct115557122230
928827712210
1010431014040
114473043267
1220313aa560
13ca309a475
1470d4bbd56
15410b4ac60
hex26dbca498

10431014040 has 96 divisors (see below), whose sum is σ = 33970978080. Its totient is φ = 2775845376.

The previous prime is 10431014017. The next prime is 10431014047. The reversal of 10431014040 is 4041013401.

10431014040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10431014047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145572 + ... + 205068.

It is an arithmetic number, because the mean of its divisors is an integer number (353864355).

Almost surely, 210431014040 is an apocalyptic number.

10431014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985489040).

10431014040 is an abundant number, since it is smaller than the sum of its proper divisors (23539964040).

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

10431014040 is a wasteful number, since it uses less digits than its factorization.

10431014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60001 (or 59994 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10431014040 its reverse (4041013401), we get a palindrome (14472027441).

The spelling of 10431014040 in words is "ten billion, four hundred thirty-one million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 487 974 1461 1948 2435 2922 3896 4383 4870 5844 7305 8766 9740 11688 14610 17532 19480 21915 29220 35064 43830 58440 59497 87660 118994 175320 178491 237988 297485 356982 475976 535473 594970 713964 892455 1070946 1189940 1427928 1784910 2141892 2379880 2677365 3569820 4283784 5354730 7139640 10709460 21418920 28975039 57950078 86925117 115900156 144875195 173850234 231800312 260775351 289750390 347700468 434625585 521550702 579500780 695400936 869251170 1043101404 1159001560 1303876755 1738502340 2086202808 2607753510 3477004680 5215507020 10431014040