Search a number
-
+
142354545244416 = 28346865091881
BaseRepresentation
bin100000010111100010000000…
…000110011111100100000000
3200200000221222000111221010000
4200113202000012133210000
5122124314102040310131
61222432435243040000
741661530223452631
oct4027420006374400
9620027860457100
10142354545244416
11413a425068481a
1213b71321210000
136157c8c3cb80b
142721dd5135888
15116ce7d596ce6
hex81788019f900

142354545244416 has 90 divisors (see below), whose sum is σ = 424475496155942. Its totient is φ = 47451515074560.

The previous prime is 142354545244403. The next prime is 142354545244421. The reversal of 142354545244416 is 614442545453241.

It is a happy number.

142354545244416 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 54 + 54 + 524 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112506242754816 + 29848302489600 = 10606896^2 + 5463360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3432525205 + ... + 3432566676.

Almost surely, 2142354545244416 is an apocalyptic number.

142354545244416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142354545244416 is an abundant number, since it is smaller than the sum of its proper divisors (282120950911526).

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

142354545244416 is an frugal number, since it uses more digits than its factorization.

142354545244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865091909 (or 6865091886 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 54.

The spelling of 142354545244416 in words is "one hundred forty-two trillion, three hundred fifty-four billion, five hundred forty-five million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 6865091881 13730183762 20595275643 27460367524 41190551286 54920735048 61785826929 82381102572 109841470096 123571653858 164762205144 185357480787 219682940192 247143307716 329524410288 370714961574 439365880384 494286615432 556072442361 659048820576 741429923148 878731760768 988573230864 1112144884722 1318097641152 1482859846296 1757463521536 1977146461728 2224289769444 2636195282304 2965719692592 3954292923456 4448579538888 5272390564608 5931439385184 7908585846912 8897159077776 11862878770368 15817171693824 17794318155552 23725757540736 35588636311104 47451515081472 71177272622208 142354545244416