Search a number
-
+
402142442340 = 223573101909043
BaseRepresentation
bin1011101101000011000…
…11101011001101100100
31102102222222221201101010
411312201203223031210
523042041431123330
6504424112102220
741024315234412
oct5664143531544
91372888851333
10402142442340
11145602a1a001
1265b30834970
132bbca4695c2
141566c93a2b2
15a6d9a463b0
hex5da18eb364

402142442340 has 96 divisors (see below), whose sum is σ = 1152725970816. Its totient is φ = 104721638400.

The previous prime is 402142442333. The next prime is 402142442363. The reversal of 402142442340 is 43244241204.

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 = 402142442298 and 402142442307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12142 + ... + 896901.

It is an arithmetic number, because the mean of its divisors is an integer number (12007562196).

Almost surely, 2402142442340 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 402142442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576362985408).

402142442340 is an abundant number, since it is smaller than the sum of its proper divisors (750583528476).

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

402142442340 is a wasteful number, since it uses less digits than its factorization.

402142442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909229 (or 909227 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 402142442340 its reverse (43244241204), we get a palindrome (445386683544).

The spelling of 402142442340 in words is "four hundred two billion, one hundred forty-two million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 101 146 202 219 292 303 365 404 438 505 606 730 876 1010 1095 1212 1460 1515 2020 2190 3030 4380 6060 7373 14746 22119 29492 36865 44238 73730 88476 110595 147460 221190 442380 909043 1818086 2727129 3636172 4545215 5454258 9090430 10908516 13635645 18180860 27271290 54542580 66360139 91813343 132720278 183626686 199080417 265440556 275440029 331800695 367253372 398160834 459066715 550880058 663601390 796321668 918133430 995402085 1101760116 1327202780 1377200145 1836266860 1990804170 2754400290 3981608340 5508800580 6702374039 13404748078 20107122117 26809496156 33511870195 40214244234 67023740390 80428488468 100535610585 134047480780 201071221170 402142442340