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4754122140 = 223543831492
BaseRepresentation
bin1000110110101111…
…00010010110011100
3110021022201102112210
410123113202112130
534214023402030
62103425200420
7225545241255
oct43327422634
913238642483
104754122140
11201a63a369
12b08190110
135a9c30531
14331579b2c
151cc588bb0
hex11b5e259c

4754122140 has 144 divisors (see below), whose sum is σ = 13878361728. Its totient is φ = 1215153408.

The previous prime is 4754122129. The next prime is 4754122141. The reversal of 4754122140 is 412214574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4754122098 and 4754122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4754122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31906786 + ... + 31906934.

It is an arithmetic number, because the mean of its divisors is an integer number (96377512).

Almost surely, 24754122140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4754122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939180864).

4754122140 is an abundant number, since it is smaller than the sum of its proper divisors (9124239588).

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

4754122140 is a wasteful number, since it uses less digits than its factorization.

4754122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4754122140 is about 68950.1424218979. The cubic root of 4754122140 is about 1681.4738271306.

The spelling of 4754122140 in words is "four billion, seven hundred fifty-four million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 83 86 129 149 166 172 215 249 258 298 332 415 430 447 498 516 596 645 745 830 860 894 996 1245 1290 1490 1660 1788 2235 2490 2580 2980 3569 4470 4980 6407 7138 8940 10707 12367 12814 14276 17845 19221 21414 22201 24734 25628 32035 35690 37101 38442 42828 44402 49468 53535 61835 64070 66603 71380 74202 76884 88804 96105 107070 111005 123670 128140 133206 148404 185505 192210 214140 222010 247340 266412 333015 371010 384420 444020 531781 666030 742020 954643 1063562 1332060 1595343 1842683 1909286 2127124 2658905 2863929 3190686 3685366 3818572 4773215 5317810 5528049 5727858 6381372 7370732 7976715 9213415 9546430 10635620 11056098 11455716 14319645 15953430 18426830 19092860 22112196 27640245 28639290 31906860 36853660 55280490 57278580 79235369 110560980 158470738 237706107 316941476 396176845 475412214 792353690 950824428 1188530535 1584707380 2377061070 4754122140