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42041332233210 = 23517295323534013
BaseRepresentation
bin10011000111100100000101…
…01011000111001111111010
312111212010000201122212011210
421203302002223013033322
521002301122022430320
6225225304342303550
711566246255532322
oct1143620253071772
9174763021585153
1042041332233210
11124396a1037482
12486ba85127bb6
131a5c632bc395b
14a54b50448282
154cd8d163c0e0
hex263c82ac73fa

42041332233210 has 128 divisors (see below), whose sum is σ = 110539360039680. Its totient is φ = 10185770520576.

The previous prime is 42041332233179. The next prime is 42041332233247. The reversal of 42041332233210 is 1233223314024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 78460164 + ... + 78994176.

It is an arithmetic number, because the mean of its divisors is an integer number (863588750310).

Almost surely, 242041332233210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42041332233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55269680019840).

42041332233210 is an abundant number, since it is smaller than the sum of its proper divisors (68498027806470).

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

42041332233210 is a wasteful number, since it uses less digits than its factorization.

42041332233210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539392.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42041332233210 its reverse (1233223314024), we get a palindrome (43274555547234).

The spelling of 42041332233210 in words is "forty-two trillion, forty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2958 4930 5323 7395 10646 14790 15969 26615 31938 53230 79845 90491 154367 159690 180982 271473 308734 452455 463101 534013 542946 771835 904910 926202 1068026 1357365 1543670 1602039 2315505 2624239 2670065 2714730 3204078 4631010 5248478 5340130 7872717 8010195 9078221 13121195 15486377 15745434 16020390 18156442 26242390 27234663 30972754 39363585 45391105 46459131 54469326 77431885 78727170 90782210 92918262 136173315 154863770 232295655 263268409 272346630 464591310 526536818 789805227 1316342045 1579610454 2632684090 2842551199 3949026135 5685102398 7898052270 8527653597 14212755995 17055307194 28425511990 42638267985 48323370383 82433984771 85276535970 96646740766 144970111149 164867969542 241616851915 247301954313 289940222298 412169923855 483233703830 494603908626 724850555745 824339847710 1236509771565 1401377741107 1449701111490 2473019543130 2802755482214 4204133223321 7006888705535 8408266446642 14013777411070 21020666116605 42041332233210