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4021316334 = 2337471511499
BaseRepresentation
bin1110111110110000…
…0110101011101110
3101101020211000222000
43233230012223232
531213424110314
61503010433130
7201436424220
oct35754065356
911336730860
104021316334
111783a23532
129428927a6
134c1176029
142a2102410
15188086209
hexefb06aee

4021316334 has 128 divisors (see below), whose sum is σ = 10506240000. Its totient is φ = 1116309600.

The previous prime is 4021316333. The next prime is 4021316339. The reversal of 4021316334 is 4336131204.

4021316334 is a `hidden beast` number, since 4 + 0 + 21 + 3 + 1 + 633 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4021316298 and 4021316307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021316333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2681917 + ... + 2683415.

It is an arithmetic number, because the mean of its divisors is an integer number (82080000).

Almost surely, 24021316334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021316334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253120000).

4021316334 is an abundant number, since it is smaller than the sum of its proper divisors (6484923666).

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

4021316334 is a wasteful number, since it uses less digits than its factorization.

4021316334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4021316334 is about 63413.8497017804. The cubic root of 4021316334 is about 1590.2158553510.

Adding to 4021316334 its reverse (4336131204), we get a palindrome (8357447538).

The spelling of 4021316334 in words is "four billion, twenty-one million, three hundred sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 151 189 282 302 329 378 423 453 658 846 906 987 1057 1269 1359 1499 1974 2114 2538 2718 2961 2998 3171 4077 4497 5922 6342 7097 8154 8883 8994 9513 10493 13491 14194 17766 19026 20986 21291 26982 28539 31479 40473 42582 49679 57078 62958 63873 70453 80946 94437 99358 127746 140906 149037 188874 191619 211359 226349 283311 298074 383238 422718 447111 452698 493171 566622 634077 679047 894222 986342 1268154 1341333 1358094 1479513 1584443 1902231 2037141 2682666 2959026 3168886 3804462 4074282 4438539 4753329 6111423 8877078 9506658 10638403 12222846 13315617 14259987 21276806 26631234 28519974 31915209 42779961 63830418 74468821 85559922 95745627 148937642 191491254 223406463 287236881 446812926 574473762 670219389 1340438778 2010658167 4021316334