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340423044042224 = 2411133733967118387
BaseRepresentation
bin100110101100111001110101…
…0100111010000110111110000
31122122100010101020212121022202
41031121303222213100313300
5324104442343233322344
63204004104254322332
7131463516244546313
oct11531635247206760
91578303336777282
10340423044042224
1199518669607990
12322203247b93a8
13117c49a854a450
14600c7c578897a
1529552b808394e
hex1359cea9d0df0

340423044042224 has 160 divisors (see below), whose sum is σ = 795851854887936. Its totient is φ = 138969177154560.

The previous prime is 340423044042167. The next prime is 340423044042229. The reversal of 340423044042224 is 422240440324043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340423044042229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875451159 + ... + 2875569545.

Almost surely, 2340423044042224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340423044042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397925927443968).

340423044042224 is an abundant number, since it is smaller than the sum of its proper divisors (455428810845712).

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

340423044042224 is a wasteful number, since it uses less digits than its factorization.

340423044042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152423 (or 152417 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

Adding to 340423044042224 its reverse (422240440324043), we get a palindrome (762663484366267).

The spelling of 340423044042224 in words is "three hundred forty trillion, four hundred twenty-three billion, forty-four million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1628 1924 2288 3256 3848 5291 6512 7696 10582 21164 33967 42328 67934 84656 118387 135868 236774 271736 373637 441571 473548 543472 747274 883142 947096 1256779 1302257 1494548 1539031 1766284 1894192 2513558 2604514 2989096 3078062 3532568 4380319 4857281 5027116 5209028 5978192 6156124 7065136 8760638 9714562 10054232 10418056 12312248 13824569 16338127 16929341 17521276 19429124 20108464 20836112 24624496 27649138 32676254 33858682 35042552 38858248 48183509 55298276 56944147 65352508 67717364 70085104 77716496 96367018 110596552 113888294 130705016 135434728 179719397 192734036 221193104 227776588 261410032 270869456 359438794 385468072 455553176 626385617 718877588 770936144 911106352 1252771234 1437755176 2505542468 2875510352 4021251229 5011084936 8042502458 10022169872 16085004916 32170009832 44233763519 52276265977 64340019664 88467527038 104552531954 148786295473 176935054076 209105063908 297572590946 353870108152 418210127816 575038925747 595145181892 707740216304 836420255632 1150077851494 1190290363784 1636649250203 1934221841149 2300155702988 2380580727568 3273298500406 3868443682298 4600311405976 6546597000812 7736887364596 9200622811952 13093194001624 15473774729192 21276440252639 26186388003248 30947549458384 42552880505278 85105761010556 170211522021112 340423044042224