Search a number
-
+
40155241143120 = 2435672497216489
BaseRepresentation
bin10010010000101010111101…
…11000100101101101010000
312021011210200210112011220220
421020111132320211231100
520230400413213034440
6221223021344433040
711313056211015435
oct1110253670455520
9167153623464826
1040155241143120
1111881818864664
124606431018780
131953813936a2c
149cb749d7db8c
154997e39d78d0
hex24855ee25b50

40155241143120 has 80 divisors (see below), whose sum is σ = 126339176662080. Its totient is φ = 10548242445312.

The previous prime is 40155241143109. The next prime is 40155241143179. The reversal of 40155241143120 is 2134114255104.

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

It is a super-2 number, since 2×401552411431202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 1248592165 + ... + 1248624324.

It is an arithmetic number, because the mean of its divisors is an integer number (1579239708276).

Almost surely, 240155241143120 is an apocalyptic number.

40155241143120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40155241143120 is an abundant number, since it is smaller than the sum of its proper divisors (86183935518960).

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

40155241143120 is a wasteful number, since it uses less digits than its factorization.

40155241143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497216572 (or 2497216566 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 40155241143120 its reverse (2134114255104), we get a palindrome (42289355398224).

The spelling of 40155241143120 in words is "forty trillion, one hundred fifty-five billion, two hundred forty-one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 2497216489 4994432978 7491649467 9988865956 12486082445 14983298934 19977731912 24972164890 29966597868 37458247335 39955463824 49944329780 59933195736 74916494670 99888659560 119866391472 149832989340 167313504763 199777319120 299665978680 334627009526 501940514289 599331957360 669254019052 836567523815 1003881028578 1338508038104 1673135047630 2007762057156 2509702571445 2677016076208 3346270095260 4015524114312 5019405142890 6692540190520 8031048228624 10038810285780 13385080381040 20077620571560 40155241143120