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42210411200034 = 23721124783248077
BaseRepresentation
bin10011001100011111000001…
…00100001011111000100010
312112110021110010120022022020
421212033200210023320202
521013033410231400114
6225435110055322310
711614413224200500
oct1146174044137042
9175407403508266
1042210411200034
11124a4375776800
1248987b1380396
131a7256a09b89c
14a5cdcda4b670
154d2eca1a3aa9
hex2663e090be22

42210411200034 has 144 divisors (see below), whose sum is σ = 107966038287744. Its totient is φ = 10961406751680.

The previous prime is 42210411200029. The next prime is 42210411200077. The reversal of 42210411200034 is 43000211401224.

It is a junction number, because it is equal to n+sod(n) for n = 42210411199977 and 42210411200013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170026404 + ... + 170274480.

It is an arithmetic number, because the mean of its divisors is an integer number (749764154776).

Almost surely, 242210411200034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210411200034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53983019143872).

42210411200034 is an abundant number, since it is smaller than the sum of its proper divisors (65755627087710).

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

42210411200034 is a wasteful number, since it uses less digits than its factorization.

42210411200034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252901 (or 252883 counting only the distinct ones).

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

Adding to 42210411200034 its reverse (43000211401224), we get a palindrome (85210622601258).

The spelling of 42210411200034 in words is "forty-two trillion, two hundred ten billion, four hundred eleven million, two hundred thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1617 1694 2541 3234 4783 5082 5929 9566 11858 14349 17787 28698 33481 35574 52613 66962 100443 105226 157839 200886 234367 248077 315678 368291 468734 496154 578743 703101 736582 744231 1104873 1157486 1406202 1488462 1736229 1736539 2209746 2578037 2728847 3472458 3473078 4051201 5156074 5209617 5457694 7734111 8102402 8186541 10419234 12153603 12155773 15468222 16373082 19101929 24307206 24311546 28358407 30017317 36467319 38203858 56716814 57305787 60034634 72934638 85075221 90051951 114611574 133713503 170150442 180103902 210121219 267427006 401140509 420242438 630363657 802281018 1186552291 1260727314 1470848533 2373104582 2941697066 3559656873 4412545599 7119313746 8305866037 8825091198 13052075201 16611732074 24917598111 26104150402 39156225603 49835196222 58141062259 78312451206 91364526407 116282124518 143572827211 174423186777 182729052814 274093579221 287145654422 348846373554 430718481633 548187158442 639551684849 861436963266 1005009790477 1279103369698 1918655054547 2010019580954 3015029371431 3837310109094 6030058742862 7035068533339 14070137066678 21105205600017 42210411200034