Search a number
-
+
40153243440 = 2435712356411
BaseRepresentation
bin100101011001010100…
…011101111100110000
310211122100102002222110
4211121110131330300
51124213212242230
630240211205320
72621014636452
oct453124357460
9124570362873
1040153243440
1116035506112
1279472a6840
133a2ba4885b
141d2ca9c2d2
1510a01a74b0
hex95951df30

40153243440 has 80 divisors (see below), whose sum is σ = 126228278016. Its totient is φ = 10556716800.

The previous prime is 40153243423. The next prime is 40153243477. The reversal of 40153243440 is 4434235104.

40153243440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401532434402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40153243398 and 40153243407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161166 + ... + 1195245.

Almost surely, 240153243440 is an apocalyptic number.

40153243440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40153243440 is an abundant number, since it is smaller than the sum of its proper divisors (86075034576).

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

40153243440 is a wasteful number, since it uses less digits than its factorization.

40153243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356498 (or 2356492 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 40153243440 its reverse (4434235104), we get a palindrome (44587478544).

The spelling of 40153243440 in words is "forty billion, one hundred fifty-three million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 2356411 4712822 7069233 9425644 11782055 14138466 18851288 23564110 28276932 35346165 37702576 47128220 56553864 70692330 94256440 113107728 141384660 167305181 188512880 282769320 334610362 501915543 565538640 669220724 836525905 1003831086 1338441448 1673051810 2007662172 2509577715 2676882896 3346103620 4015324344 5019155430 6692207240 8030648688 10038310860 13384414480 20076621720 40153243440