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242234653504230 = 23451693974918119
BaseRepresentation
bin110111000100111110100110…
…011110010111001011100110
31011202200101222111101000110000
4313010332212132113023212
5223222233032244113410
62215105021421442130
7102010606346636112
oct6704764636271346
91152611874330400
10242234653504230
1170202159949aa2
1223202847410346
13a52182590365a
1443b6311142742
151d0112c647dc0
hexdc4fa67972e6

242234653504230 has 160 divisors (see below), whose sum is σ = 651829618440000. Its totient is φ = 64547568292608.

The previous prime is 242234653504223. The next prime is 242234653504279. The reversal of 242234653504230 is 32405356432242.

242234653504230 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 3 + 4 + 65 + 350 + 4 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13369087111 + ... + 13369105229.

It is an arithmetic number, because the mean of its divisors is an integer number (4073935115250).

Almost surely, 2242234653504230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242234653504230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325914809220000).

242234653504230 is an abundant number, since it is smaller than the sum of its proper divisors (409594964935770).

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

242234653504230 is a wasteful number, since it uses less digits than its factorization.

242234653504230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29580 (or 29571 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 242234653504230 in words is "two hundred forty-two trillion, two hundred thirty-four billion, six hundred fifty-three million, five hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1693 3386 5079 8465 9749 10158 15237 16930 18119 19498 25395 29247 30474 36238 45711 48745 50790 54357 58494 76185 87741 90595 91422 97490 108714 137133 146235 152370 163071 175482 181190 228555 263223 271785 274266 292470 326142 438705 457110 489213 526446 543570 685665 789669 815355 877410 978426 1316115 1371330 1467639 1579338 1630710 2446065 2632230 2935278 3948345 4892130 7338195 7896690 14676390 16505057 30675467 33010114 49515171 61350934 82525285 92026401 99030342 148545513 153377335 165050570 176642131 184052802 247575855 276079203 297091026 306754670 353284262 445636539 460132005 495151710 529926393 552158406 742727565 828237609 883210655 891273078 920264010 1059852786 1336909617 1380396015 1485455130 1589779179 1656475218 1766421310 2228182695 2484712827 2649631965 2673819234 2760792030 3179558358 4141188045 4456365390 4769337537 4969425654 5299263930 6684548085 7948895895 8282376090 9538675074 12423564135 13369096170 14308012611 15897791790 23846687685 24847128270 28616025222 47693375370 71540063055 143080126110 299055127783 598110255566 897165383349 1495275638915 1794330766698 2691496150047 2990551277830 4485826916745 5382992300094 8074488450141 8971653833490 13457480750235 16148976900282 24223465350423 26914961500470 40372442250705 48446930700846 80744884501410 121117326752115 242234653504230