Search a number
-
+
1353463651422 = 233234578772719
BaseRepresentation
bin10011101100100000101…
…110000101110001011110
311210101112012122100101000
4103230200232011301132
5134133343143321142
62513434515131130
7166533043134261
oct23544056056136
94711465570330
101353463651422
11482000a45883
1219a3882a3aa6
139a828617c3c
1449717cd4cd8
15253178e714c
hex13b20b85c5e

1353463651422 has 128 divisors (see below), whose sum is σ = 3150078566400. Its totient is φ = 429945677568.

The previous prime is 1353463651403. The next prime is 1353463651429. The reversal of 1353463651422 is 2241563643531.

1353463651422 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 636 + 5 + 1 + 4 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353463651429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497778579 + ... + 497781297.

It is an arithmetic number, because the mean of its divisors is an integer number (24609988800).

Almost surely, 21353463651422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353463651422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575039283200).

1353463651422 is an abundant number, since it is smaller than the sum of its proper divisors (1796614914978).

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

1353463651422 is a wasteful number, since it uses less digits than its factorization.

1353463651422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4081 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 1353463651422 in words is "one trillion, three hundred fifty-three billion, four hundred sixty-three million, six hundred fifty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 457 621 877 914 1242 1371 1754 2631 2719 2742 4113 5262 5438 7893 8157 8226 10511 12339 15786 16314 20171 21022 23679 24471 24678 31533 40342 47358 48942 60513 62537 63066 73413 94599 121026 125074 146826 181539 187611 189198 283797 363078 375222 400789 544617 562833 567594 801578 1089234 1125666 1202367 1242583 1688499 2384563 2404734 2485166 3376998 3607101 3727749 4769126 7153689 7214202 7455498 9218147 10821303 11183247 14307378 18436294 21461067 21642606 22366494 27654441 28579409 33549741 42922134 54844949 55308882 57158818 64383201 67099482 82963323 85738227 109689898 128766402 164534847 165926646 171476454 248889969 257214681 329069694 493604541 497779938 514429362 771644043 987209082 1089745291 1480813623 1543288086 2179490582 2961627246 3269235873 6538471746 9807707619 19615415238 25064141693 29423122857 50128283386 58846245714 75192425079 150384850158 225577275237 451154550474 676731825711 1353463651422