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11422401342 = 231119151179337
BaseRepresentation
bin10101010001101010…
…00000001100111110
31002111001021002221120
422220311000030332
5141343113320332
65125233411410
7553025544432
oct125065001476
932431232846
1011422401342
114931714210
122269409b66
1311005b0381
147a50269c2
1546cbca32c
hex2a8d4033e

11422401342 has 128 divisors (see below), whose sum is σ = 26633318400. Its totient is φ = 3229632000.

The previous prime is 11422401317. The next prime is 11422401343. The reversal of 11422401342 is 24310422411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422401343) 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, 33894198 + ... + 33894534.

It is an arithmetic number, because the mean of its divisors is an integer number (208072800).

Almost surely, 211422401342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11422401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316659200).

11422401342 is an abundant number, since it is smaller than the sum of its proper divisors (15210917058).

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

11422401342 is a wasteful number, since it uses less digits than its factorization.

11422401342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11422401342 its reverse (24310422411), we get a palindrome (35732823753).

It can be divided in two parts, 114224013 and 42, that added together give a triangular number (114224055 = T15114).

The spelling of 11422401342 in words is "eleven billion, four hundred twenty-two million, four hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 151 179 209 302 337 358 418 453 537 627 674 906 1011 1074 1254 1661 1969 2022 2869 3322 3401 3707 3938 4983 5738 5907 6403 6802 7414 8607 9966 10203 11121 11814 12806 17214 19209 20406 22242 27029 31559 37411 38418 50887 54058 60323 63118 70433 74822 81087 94677 101774 112233 120646 140866 152661 162174 180969 189354 211299 224466 297319 305322 361938 422598 513551 559757 594638 663553 891957 966853 1027102 1119514 1146137 1327106 1540653 1679271 1783914 1933706 1990659 2292274 2900559 3081306 3358542 3438411 3981318 5649061 5801118 6876822 9108773 10635383 11298122 12607507 16947183 18217546 21270766 25215014 27326319 31906149 33894366 37822521 54652638 63812298 75645042 100196503 173066687 200393006 300589509 346133374 519200061 601179018 1038400122 1903733557 3807467114 5711200671 11422401342