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5142214644 = 22372194431039
BaseRepresentation
bin1001100100111111…
…11111011111110100
3111021100222120101020
410302133333133310
541012401332034
62210131301140
7241300050300
oct46237773764
914240876336
105142214644
1121a9711a76
12bb614a7b0
1363c462c78
1436ad20d00
15201699249
hex1327ff7f4

5142214644 has 144 divisors (see below), whose sum is σ = 14739379200. Its totient is φ = 1387399104.

The previous prime is 5142214643. The next prime is 5142214697. The reversal of 5142214644 is 4464122415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142214643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4948677 + ... + 4949715.

It is an arithmetic number, because the mean of its divisors is an integer number (102356800).

Almost surely, 25142214644 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 5142214644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369689600).

5142214644 is an abundant number, since it is smaller than the sum of its proper divisors (9597164556).

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

5142214644 is a wasteful number, since it uses less digits than its factorization.

5142214644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1513 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 5142214644 is about 71709.2368108879. The cubic root of 5142214644 is about 1726.0368638870.

It can be divided in two parts, 51422 and 14644, that added together give a palindrome (66066).

The spelling of 5142214644 in words is "five billion, one hundred forty-two million, two hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 443 532 588 798 886 931 1039 1329 1596 1772 1862 2078 2658 2793 3101 3117 3724 4156 5316 5586 6202 6234 7273 8417 9303 11172 12404 12468 14546 16834 18606 19741 21707 21819 25251 29092 33668 37212 39482 43414 43638 50502 50911 58919 59223 65121 78964 86828 87276 101004 101822 117838 118446 130242 138187 152733 176757 203644 235676 236892 260484 276374 305466 353514 412433 414561 460277 552748 610932 707028 824866 829122 920554 967309 1237299 1380831 1649732 1658244 1841108 1934618 2474598 2761662 2901927 3221939 3869236 4949196 5523324 5803854 6443878 8745263 9665817 11607708 12887756 17490526 19331634 22553573 26235789 34981052 38663268 45107146 52471578 61216841 67660719 90214292 104943156 122433682 135321438 183650523 244867364 270642876 367301046 428517887 734602092 857035774 1285553661 1714071548 2571107322 5142214644