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21142020004 = 22721072274441
BaseRepresentation
bin10011101100001010…
…011001111110100100
32000120102102220011221
4103230022121332210
5321244324120004
613413522510124
71345630130200
oct235412317644
960512386157
1021142020004
118a6a134606
124120505344
131cbc17b711
141047c41b00
1583b152354
hex4ec299fa4

21142020004 has 72 divisors (see below), whose sum is σ = 43642543392. Its totient is φ = 8934629760.

The previous prime is 21142019963. The next prime is 21142020007. The reversal of 21142020004 is 40002024112.

It is a self number, because there is not a number n which added to its sum of digits gives 21142020004.

It is not an unprimeable number, because it can be changed into a prime (21142020007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4758424 + ... + 4762864.

It is an arithmetic number, because the mean of its divisors is an integer number (606146436).

Almost surely, 221142020004 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 21142020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821271696).

21142020004 is an abundant number, since it is smaller than the sum of its proper divisors (22500523388).

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

21142020004 is a wasteful number, since it uses less digits than its factorization.

21142020004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21142020004 its reverse (40002024112), we get a palindrome (61144044116).

The spelling of 21142020004 in words is "twenty-one billion, one hundred forty-two million, twenty thousand, four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 227 428 454 749 908 1498 1589 2996 3178 4441 5243 6356 8882 10486 11123 17764 20972 22246 24289 31087 44492 48578 62174 97156 124348 170023 217609 340046 435218 475187 680092 870436 950374 1008107 1190161 1900748 2016214 2380322 3326309 4032428 4760644 6652618 7056749 13305236 14113498 23284163 28226996 46568326 49397243 93136652 98794486 107867449 197588972 215734898 431469796 755072143 1510144286 3020288572 5285505001 10571010002 21142020004