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40245431400 = 233252191176767
BaseRepresentation
bin100101011110110100…
…001000110001101000
310211212202212202002100
4211132310020301220
51124410312301100
630253303133400
72623214344146
oct453664106150
9124782782070
1040245431400
1116082551309
127972144260
133a44b85645
141d3b018596
1510a8317400
hex95ed08c68

40245431400 has 144 divisors (see below), whose sum is σ = 142271251200. Its totient is φ = 10167258240.

The previous prime is 40245431393. The next prime is 40245431453. The reversal of 40245431400 is 413454204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554184 + ... + 622583.

It is an arithmetic number, because the mean of its divisors is an integer number (987994800).

Almost surely, 240245431400 is an apocalyptic number.

40245431400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40245431400 is an abundant number, since it is smaller than the sum of its proper divisors (102025819800).

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

40245431400 is a wasteful number, since it uses less digits than its factorization.

40245431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176808 (or 1176796 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40245431400 its reverse (413454204), we get a palindrome (40658885604).

The spelling of 40245431400 in words is "forty billion, two hundred forty-five million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 1176767 2353534 3530301 4707068 5883835 7060602 9414136 10590903 11767670 14121204 17651505 21181806 22358573 23535340 28242408 29419175 35303010 42363612 44717146 47070680 52954515 58838350 67075719 70606020 84727224 88257525 89434292 105909030 111792865 117676700 134151438 141212040 176515050 178868584 201227157 211818060 223585730 235353400 264772575 268302876 335378595 353030100 402454314 423636120 447171460 529545150 536605752 558964325 670757190 706060200 804908628 894342920 1006135785 1059090300 1117928650 1341514380 1609817256 1676892975 2012271570 2118180600 2235857300 2683028760 3353785950 4024543140 4471714600 5030678925 6707571900 8049086280 10061357850 13415143800 20122715700 40245431400