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43214142132 = 22327267365639
BaseRepresentation
bin101000001111110000…
…110111101010110100
311010112200000212121200
4220033300313222310
51202000310022012
631504033012500
73056613101400
oct501760675264
9133480025550
1043214142132
1117366290657
1284603b4130
1340c8c33105
14213d3d8100
1511cdc7a3dc
hexa0fc37ab4

43214142132 has 108 divisors (see below), whose sum is σ = 128967078240. Its totient is φ = 12162582432.

The previous prime is 43214142131. The next prime is 43214142143. The reversal of 43214142132 is 23124141234.

43214142132 is a `hidden beast` number, since 4 + 32 + 1 + 414 + 213 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43214142096 and 43214142105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43214142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64632 + ... + 301007.

Almost surely, 243214142132 is an apocalyptic number.

43214142132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

43214142132 is an abundant number, since it is smaller than the sum of its proper divisors (85752936108).

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

43214142132 is a wasteful number, since it uses less digits than its factorization.

43214142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365730 (or 365718 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 43214142132 its reverse (23124141234), we get a palindrome (66338283366).

The spelling of 43214142132 in words is "forty-three billion, two hundred fourteen million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 126 134 147 196 201 252 268 294 402 441 469 588 603 804 882 938 1206 1407 1764 1876 2412 2814 3283 4221 5628 6566 8442 9849 13132 16884 19698 29547 39396 59094 118188 365639 731278 1096917 1462556 2193834 2559473 3290751 4387668 5118946 6581502 7678419 10237892 13163004 15356838 17916311 23035257 24497813 30713676 35832622 46070514 48995626 53748933 71665244 73493439 92141028 97991252 107497866 146986878 161246799 171484691 214995732 220480317 293973756 322493598 342969382 440960634 514454073 644987196 685938764 881921268 1028908146 1200392837 1543362219 2057816292 2400785674 3086724438 3601178511 4801571348 6173448876 7202357022 10803535533 14404714044 21607071066 43214142132