Search a number
-
+
40242024240 = 24351115243191
BaseRepresentation
bin100101011110100111…
…001000111100110000
310211212112110122100020
4211132213020330300
51124403424233430
630253102123440
72623143363555
oct453647107460
9124775418306
1040242024240
1116080634480
127970b80580
133a44261882
141d3a7aca2c
1510a7d92b10
hex95e9c8f30

40242024240 has 80 divisors (see below), whose sum is σ = 136091218176. Its totient is φ = 9755641600.

The previous prime is 40242024239. The next prime is 40242024241. The reversal of 40242024240 is 4242024204.

40242024240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40242024239) and next prime (40242024241).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40242024240.

It is not an unprimeable number, because it can be changed into a prime (40242024241) 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, 7618956 + ... + 7624235.

Almost surely, 240242024240 is an apocalyptic number.

40242024240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40242024240 is an abundant number, since it is smaller than the sum of its proper divisors (95849193936).

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

40242024240 is a wasteful number, since it uses less digits than its factorization.

40242024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15243218 (or 15243212 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40242024240 its reverse (4242024204), we get a palindrome (44484048444).

The spelling of 40242024240 in words is "forty billion, two hundred forty-two million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 15243191 30486382 45729573 60972764 76215955 91459146 121945528 152431910 167675101 182918292 228647865 243891056 304863820 335350202 365836584 457295730 503025303 609727640 670700404 731673168 838375505 914591460 1006050606 1219455280 1341400808 1676751010 1829182920 2012101212 2515126515 2682801616 3353502020 3658365840 4024202424 5030253030 6707004040 8048404848 10060506060 13414008080 20121012120 40242024240