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40413102000 = 2435337182041
BaseRepresentation
bin100101101000110011…
…101111111110110000
310212022110101021220120
4211220303233332300
51130231223231000
630322053010240
72630321461545
oct455063577660
9125273337816
1040413102000
1116159162757
1279ba323980
133a7083060b
141d553c2bcc
1510b7dd76a0
hex968ceffb0

40413102000 has 160 divisors (see below), whose sum is σ = 133813977024. Its totient is φ = 10485504000.

The previous prime is 40413101941. The next prime is 40413102007. The reversal of 40413102000 is 20131404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (40413102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130980 + ... + 313020.

Almost surely, 240413102000 is an apocalyptic number.

40413102000 is a gapful number since it is divisible by the number (40) 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 40413102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66906988512).

40413102000 is an abundant number, since it is smaller than the sum of its proper divisors (93400875024).

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

40413102000 is a wasteful number, since it uses less digits than its factorization.

40413102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182104 (or 182088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 40413102000 its reverse (20131404), we get a palindrome (40433233404).

The spelling of 40413102000 in words is "forty billion, four hundred thirteen million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 182041 222000 364082 546123 728164 910205 1092246 1456328 1820410 2184492 2730615 2912656 3640820 4368984 4551025 5461230 6735517 7281640 8737968 9102050 10922460 13471034 13653075 14563280 18204100 20206551 21844920 22755125 26942068 27306150 33677585 36408200 40413102 43689840 45510250 53884136 54612300 67355170 68265375 72816400 80826204 91020500 101032755 107768272 109224600 134710340 136530750 161652408 168387925 182041000 202065510 218449200 269420680 273061500 323304816 336775850 364082000 404131020 505163775 538841360 546123000 673551700 808262040 841939625 1010327550 1092246000 1347103400 1616524080 1683879250 2020655100 2525818875 2694206800 3367758500 4041310200 5051637750 6735517000 8082620400 10103275500 13471034000 20206551000 40413102000