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142320322029630 = 23537678632217473
BaseRepresentation
bin100000010111000010001000…
…001111010010100000111110
3200122220200121221111111011110
4200113002020033102200332
5122123234004414422010
61222405015304502450
741656206153104343
oct4027021017224076
9618820557444143
10142320322029630
1141390789558a38
1213b6676ba7aa26
1361549970c0274
1427204a9c707ca
15116c128d05120
hex8170883d283e

142320322029630 has 128 divisors (see below), whose sum is σ = 356448904777728. Its totient is φ = 36333048102912.

The previous prime is 142320322029629. The next prime is 142320322029631. The reversal of 142320322029630 is 36920223023241.

It is an interprime number because it is at equal distance from previous prime (142320322029629) and next prime (142320322029631).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142320322029631) 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 63 ways as a sum of consecutive naturals, for example, 63072574 + ... + 65290046.

It is an arithmetic number, because the mean of its divisors is an integer number (2784757068576).

Almost surely, 2142320322029630 is an apocalyptic number.

142320322029630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142320322029630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178224452388864).

142320322029630 is an abundant number, since it is smaller than the sum of its proper divisors (214128582748098).

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

142320322029630 is a wasteful number, since it uses less digits than its factorization.

142320322029630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218450.

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 142320322029630 in words is "one hundred forty-two trillion, three hundred twenty billion, three hundred twenty-two million, twenty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 863 1005 1110 1726 2010 2479 2589 4315 4958 5178 7437 8630 12395 12945 14874 24790 25890 31931 37185 57821 63862 74370 95793 115642 159655 173463 191586 289105 319310 346926 478965 578210 867315 957930 1734630 2139377 2217473 4278754 4434946 6418131 6652419 10696885 11087365 12836262 13304838 21393770 22174730 32090655 33262095 64181310 66524190 82046501 148570691 164093002 246139503 297141382 410232505 445712073 492279006 742853455 820465010 891424146 1230697515 1485706910 1913679199 2228560365 2461395030 3827358398 4457120730 5497115567 5741037597 9568395995 10994231134 11482075194 16491346701 19136791990 27485577835 28705187985 32982693402 54971155670 57410375970 70806130363 82456733505 128216506333 141612260726 164913467010 212418391089 256433012666 354030651815 384649518999 424836782178 641082531665 708061303630 769299037998 1062091955445 1282165063330 1923247594995 2124183910890 3846495189990 4744010734321 9488021468642 14232032202963 23720053671605 28464064405926 47440107343210 71160161014815 142320322029630