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40155144000 = 263531673131
BaseRepresentation
bin100101011001011011…
…101101111101000000
310211122110222200001120
4211121123231331000
51124214204102000
630240320032240
72621040043446
oct453133557500
9124573880046
1040155144000
1116036594024
127947a62680
133a2c26294a
141d2d034b96
1510a04306a0
hex9596edf40

40155144000 has 112 divisors (see below), whose sum is σ = 132592364736. Its totient is φ = 10708032000.

The previous prime is 40155143971. The next prime is 40155144047. The reversal of 40155144000 is 44155104.

It is a happy number.

It is a super-2 number, since 2×401551440002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812566 + ... + 860565.

Almost surely, 240155144000 is an apocalyptic number.

40155144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40155144000 is an abundant number, since it is smaller than the sum of its proper divisors (92437220736).

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

40155144000 is a wasteful number, since it uses less digits than its factorization.

40155144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673161 (or 1673141 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 40155144000 its reverse (44155104), we get a palindrome (40199299104).

The spelling of 40155144000 in words is "forty billion, one hundred fifty-five million, one hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 1673131 3346262 5019393 6692524 8365655 10038786 13385048 16731310 20077572 25096965 26770096 33462620 40155144 41828275 50193930 53540192 66925240 80310288 83656550 100387860 107080384 125484825 133850480 160620576 167313100 200775720 209141375 250969650 267700960 321241152 334626200 401551440 418282750 501939300 535401920 627424125 669252400 803102880 836565500 1003878600 1254848250 1338504800 1606205760 1673131000 2007757200 2509696500 2677009600 3346262000 4015514400 5019393000 6692524000 8031028800 10038786000 13385048000 20077572000 40155144000