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41250605214 = 23721337291701
BaseRepresentation
bin100110011010101110…
…100100100010011110
310221110211021212100010
4212122232210202132
51133440123331324
630541131344050
72660141234100
oct463256444236
9127424255303
1041250605214
1116548989275
127bb28b2026
133b751b4750
141dd4711570
1511166bb829
hex99aba489e

41250605214 has 96 divisors (see below), whose sum is σ = 106146857376. Its totient is φ = 10585209600.

The previous prime is 41250605191. The next prime is 41250605257.

41250605214 is nontrivially palindromic in base 10.

41250605214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412506052142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4437 + ... + 287264.

It is an arithmetic number, because the mean of its divisors is an integer number (1105696431).

Almost surely, 241250605214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41250605214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53073428688).

41250605214 is an abundant number, since it is smaller than the sum of its proper divisors (64896252162).

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

41250605214 is a wasteful number, since it uses less digits than its factorization.

41250605214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291770 (or 291763 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 41250605214 in words is "forty-one billion, two hundred fifty million, six hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 777 962 1274 1443 1554 1813 1911 2886 3367 3626 3822 5439 6734 10101 10878 20202 23569 47138 70707 141414 291701 583402 875103 1750206 2041907 3792113 4083814 6125721 7584226 10792937 11376339 12251442 14293349 21585874 22752678 26544791 28586698 32378811 42880047 53089582 64757622 75550559 79634373 85760094 140308181 151101118 159268746 185813537 226651677 280616362 371627074 420924543 453303354 528853913 557440611 841849086 982157267 1057707826 1114881222 1586561739 1964314534 2946471801 3173123478 5892943602 6875100869 13750201738 20625302607 41250605214