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40424465340 = 22335710694303
BaseRepresentation
bin100101101001011111…
…000110001110111100
310212100020202121111000
4211221133012032330
51130242130342330
630323140330300
72630520200040
oct455137061674
9125306677430
1040424465340
1116164614146
127a020a3990
133a72cab89c
141d56b00020
1510b8dce560
hex9697c63bc

40424465340 has 96 divisors (see below), whose sum is σ = 143731445760. Its totient is φ = 9239876928.

The previous prime is 40424465321. The next prime is 40424465363. The reversal of 40424465340 is 4356442404.

40424465340 is a `hidden beast` number, since 40 + 42 + 4 + 46 + 534 + 0 = 666.

It is a super-2 number, since 2×404244653402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40424465295 and 40424465304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343372 + ... + 5350931.

It is an arithmetic number, because the mean of its divisors is an integer number (1497202560).

Almost surely, 240424465340 is an apocalyptic number.

It is an amenable number.

40424465340 is an abundant number, since it is smaller than the sum of its proper divisors (103306980420).

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

40424465340 is a wasteful number, since it uses less digits than its factorization.

40424465340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10694328 (or 10694320 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 40424465340 in words is "forty billion, four hundred twenty-four million, four hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 10694303 21388606 32082909 42777212 53471515 64165818 74860121 96248727 106943030 128331636 149720242 160414545 192497454 213886060 224580363 288746181 299440484 320829090 374300605 384994908 449160726 481243635 577492362 641658180 673741089 748601210 898321452 962487270 1122901815 1154984724 1347482178 1443730905 1497202420 1924974540 2021223267 2245803630 2694964356 2887461810 3368705445 4042446534 4491607260 5774923620 6737410890 8084893068 10106116335 13474821780 20212232670 40424465340