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10042220214414 = 232171069112327337
BaseRepresentation
bin1001001000100010001011…
…1101111111100010001110
31022120000201121000100221100
42102020202331333202032
52304012431333330124
633205155434443530
72054345402265363
oct222104275774216
938500647010840
1010042220214414
113221977569003
1211622bb2935a6
1357ac9219930b
1426a09051a46a
1512634b7db1c9
hex92222f7f88e

10042220214414 has 96 divisors (see below), whose sum is σ = 23080963819680. Its totient is φ = 3144635467776.

The previous prime is 10042220214371. The next prime is 10042220214421. The reversal of 10042220214414 is 41441202224001.

10042220214414 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 220 + 21 + 4 + 414 = 666.

10042220214414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367335354 + ... + 367362690.

It is an arithmetic number, because the mean of its divisors is an integer number (240426706455).

Almost surely, 210042220214414 is an apocalyptic number.

10042220214414 is an abundant number, since it is smaller than the sum of its proper divisors (13038743605266).

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

10042220214414 is a wasteful number, since it uses less digits than its factorization.

10042220214414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29554 (or 29551 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10042220214414 its reverse (41441202224001), we get a palindrome (51483422438415).

The spelling of 10042220214414 in words is "ten trillion, forty-two billion, two hundred twenty million, two hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1069 1123 2138 2246 3207 3369 6414 6738 9621 10107 18173 19091 19242 20214 27337 36346 38182 54519 54674 57273 82011 109038 114546 163557 164022 171819 246033 327114 343638 464729 492066 929458 1200487 1394187 2400974 2788374 3601461 4182561 7202922 8365122 10804383 20408279 21608766 29223253 30699451 40816558 58446506 61224837 61398902 87669759 92098353 122449674 175339518 183674511 184196706 263009277 276295059 367349022 496795301 521890667 526018554 552590118 993590602 1043781334 1490385903 1565672001 2980771806 3131344002 4471157709 4697016003 8942315418 9394032006 32817713119 65635426238 98453139357 196906278714 295359418071 557901123023 590718836142 1115802246046 1673703369069 3347406738138 5021110107207 10042220214414