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402440213420 = 225727135916111
BaseRepresentation
bin1011101101100110100…
…11100101001110101100
31102110202202021001111122
411312303103211032230
523043144143312140
6504513430240112
741034562241600
oct5666323451654
91373682231448
10402440213420
11145746010903
1265bb44b6038
132bc470669cb
141569a2cd500
15a705c64ab5
hex5db34e53ac

402440213420 has 144 divisors (see below), whose sum is σ = 999789557760. Its totient is φ = 135648777600.

The previous prime is 402440213419. The next prime is 402440213459. The reversal of 402440213420 is 24312044204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 402440213420.

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, 24971165 + ... + 24987275.

It is an arithmetic number, because the mean of its divisors is an integer number (6942983040).

Almost surely, 2402440213420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402440213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499894778880).

402440213420 is an abundant number, since it is smaller than the sum of its proper divisors (597349344340).

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

402440213420 is a wasteful number, since it uses less digits than its factorization.

402440213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16564 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 402440213420 its reverse (24312044204), we get a palindrome (426752257624).

The spelling of 402440213420 in words is "four hundred two billion, four hundred forty million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 359 490 497 710 718 980 994 1420 1436 1795 1988 2485 2513 3479 3590 4970 5026 6958 7180 9940 10052 12565 13916 16111 17395 17591 25130 25489 32222 34790 35182 50260 50978 64444 69580 70364 80555 87955 101956 112777 127445 161110 175910 178423 225554 254890 322220 351820 356846 451108 509780 563885 713692 789439 892115 1127770 1143881 1248961 1578878 1784230 2255540 2287762 2497922 3157756 3568460 3947195 4575524 4995844 5719405 5783849 6244805 7894390 8007167 11438810 11567698 12489610 15788780 16014334 22877620 23135396 24979220 28919245 32028668 40035835 40486943 56050169 57838490 80071670 80973886 112100338 115676980 160143340 161947772 202434715 224200676 280250845 283408601 404869430 410653279 560501690 566817202 809738860 821306558 1121003380 1133634404 1417043005 1642613116 2053266395 2834086010 2874572953 4106532790 5668172020 5749145906 8213065580 11498291812 14372864765 20122010671 28745729530 40244021342 57491459060 80488042684 100610053355 201220106710 402440213420