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214214043624630 = 235729141532485319
BaseRepresentation
bin110000101101001110010111…
…111110011110010010110110
31001002110122220000101202010220
4300231032113332132102312
5211034140330131442010
62035332323442155210
763056311460533260
oct6055162776362266
91032418800352126
10214214043624630
1162289736094185
1220038149952b06
13926b3b3ba644a
143ac802d364b30
1519b72eb2b0970
hexc2d397f9e4b6

214214043624630 has 128 divisors (see below), whose sum is σ = 607862349158400. Its totient is φ = 47271464131584.

The previous prime is 214214043624611. The next prime is 214214043624643. The reversal of 214214043624630 is 36426340412412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84949111 + ... + 87434429.

It is an arithmetic number, because the mean of its divisors is an integer number (4748924602800).

Almost surely, 2214214043624630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214214043624630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303931174579200).

214214043624630 is an abundant number, since it is smaller than the sum of its proper divisors (393648305533770).

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

214214043624630 is a wasteful number, since it uses less digits than its factorization.

214214043624630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499518.

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 214214043624630 in words is "two hundred fourteen trillion, two hundred fourteen billion, forty-three million, six hundred twenty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 14153 28306 42459 70765 84918 99071 141530 198142 212295 297213 410437 424590 495355 594426 820874 990710 1231311 1486065 2052185 2462622 2485319 2873059 2972130 4104370 4970638 5746118 6156555 7455957 8619177 12313110 12426595 14365295 14911914 17238354 17397233 24853190 28730590 34794466 37279785 43095885 52191699 72074251 74559570 86191770 86986165 104383398 144148502 173972330 216222753 260958495 360371255 432445506 504519757 521916990 720742510 1009039514 1081113765 1513559271 2162227530 2522598785 3027118542 5045197570 7567796355 15135592710 35174719807 70349439614 105524159421 175873599035 211048318842 246223038649 351747198070 492446077298 527620797105 738669115947 1020066874403 1055241594210 1231115193245 1477338231894 2040133748806 2462230386490 3060200623209 3693345579735 5100334372015 6120401246418 7140468120821 7386691159470 10200668744030 14280936241642 15301003116045 21421404362463 30602006232090 35702340604105 42842808724926 71404681208210 107107021812315 214214043624630