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4344024140 = 2257389101331
BaseRepresentation
bin1000000101110110…
…01000110001001100
3102012202001021211222
410002323020301030
532344032233030
61555015302512
7212435411261
oct40273106114
912182037758
104344024140
11192a0a76a5
12a1297aa38
13542c948b1
142d2d07268
151a657d3e5
hex102ec8c4c

4344024140 has 96 divisors (see below), whose sum is σ = 9472438080. Its totient is φ = 1672704000.

The previous prime is 4344024101. The next prime is 4344024143. The reversal of 4344024140 is 414204434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4344024143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13123775 + ... + 13124105.

It is an arithmetic number, because the mean of its divisors is an integer number (98671230).

Almost surely, 24344024140 is an apocalyptic number.

It is an amenable number.

4344024140 is an abundant number, since it is smaller than the sum of its proper divisors (5128413940).

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

4344024140 is a wasteful number, since it uses less digits than its factorization.

4344024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4344024140 is about 65909.2113440906. The cubic root of 4344024140 is about 1631.6640439078.

Adding to 4344024140 its reverse (414204434), we get a palindrome (4758228574).

The spelling of 4344024140 in words is "four billion, three hundred forty-four million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 89 101 146 178 202 292 331 356 365 404 445 505 662 730 890 1010 1324 1460 1655 1780 2020 3310 6497 6620 7373 8989 12994 14746 17978 24163 25988 29459 29492 32485 33431 35956 36865 44945 48326 58918 64970 66862 73730 89890 96652 117836 120815 129940 133724 147295 147460 167155 179780 241630 294590 334310 483260 589180 656197 668620 1312394 2150507 2440463 2624788 2975359 3280985 4301014 4880926 5950718 6561970 8602028 9761852 10752535 11901436 12202315 13123940 14876795 21505070 24404630 29753590 43010140 48809260 59507180 217201207 434402414 868804828 1086006035 2172012070 4344024140