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21143320040 = 2357110337207
BaseRepresentation
bin10011101100001111…
…010111010111101000
32000120111212221111102
4103230033113113220
5321300142220130
613414010420532
71345644153323
oct235417272750
960514787442
1021143320040
118a6a942317
124120a31748
131cbc51537b
14104809d7ba
1583b30c645
hex4ec3d75e8

21143320040 has 64 divisors (see below), whose sum is σ = 48295906560. Its totient is φ = 8328983040.

The previous prime is 21143320039. The next prime is 21143320043. The reversal of 21143320040 is 4002334112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21143319994 and 21143320021.

It is not an unprimeable number, because it can be changed into a prime (21143320043) 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, 2930117 + ... + 2937323.

It is an arithmetic number, because the mean of its divisors is an integer number (754623540).

Almost surely, 221143320040 is an apocalyptic number.

21143320040 is a gapful number since it is divisible by the number (20) 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 21143320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147953280).

21143320040 is an abundant number, since it is smaller than the sum of its proper divisors (27152586520).

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

21143320040 is a wasteful number, since it uses less digits than its factorization.

21143320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21143320040 its reverse (4002334112), we get a palindrome (25145654152).

The spelling of 21143320040 in words is "twenty-one billion, one hundred forty-three million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1033 1420 2066 2840 4132 5165 7207 8264 10330 14414 20660 28828 36035 41320 57656 72070 73343 144140 146686 288280 293372 366715 511697 586744 733430 1023394 1466860 2046788 2558485 2933720 4093576 5116970 7444831 10233940 14889662 20467880 29779324 37224155 59558648 74448310 148896620 297793240 528583001 1057166002 2114332004 2642915005 4228664008 5285830010 10571660020 21143320040