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40114998 = 232711103281
BaseRepresentation
bin1001100100000…
…1101100110110
32210111001102200
42121001230312
540232134443
63551445330
7664654230
oct231015466
983431380
1040114998
1120709aa0
1211526846
138406cb1
145483250
1537c5dd3
hex2641b36

40114998 has 96 divisors (see below), whose sum is σ = 109804032. Its totient is φ = 10281600.

The previous prime is 40114981. The next prime is 40115039. The reversal of 40114998 is 89941104.

It is a Curzon number.

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, 142618 + ... + 142898.

It is an arithmetic number, because the mean of its divisors is an integer number (1143792).

Almost surely, 240114998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40114998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54902016).

40114998 is an abundant number, since it is smaller than the sum of its proper divisors (69689034).

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

40114998 is a wasteful number, since it uses less digits than its factorization.

40114998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 40114998 is about 6333.6401855489. The cubic root of 40114998 is about 342.3226154475.

It can be divided in two parts, 4011 and 4998, that added together give a palindrome (9009).

The spelling of 40114998 in words is "forty million, one hundred fourteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 103 126 154 198 206 231 281 309 462 562 618 693 721 843 927 1133 1386 1442 1686 1854 1967 2163 2266 2529 3091 3399 3934 4326 5058 5901 6182 6489 6798 7931 9273 10197 11802 12978 15862 17703 18546 20394 21637 23793 27819 28943 35406 43274 47586 55638 57886 64911 71379 86829 129822 142758 173658 194733 202601 260487 318373 389466 405202 520974 607803 636746 955119 1215606 1823409 1910238 2228611 2865357 3646818 4457222 5730714 6685833 13371666 20057499 40114998