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1410214102440 = 2335111382180309
BaseRepresentation
bin10100100001010111010…
…011111000010110101000
311222211000020121221221020
4110201113103320112220
5141101104302234230
62555502102212440
7203612264043243
oct24412723702650
94884006557836
101410214102440
114a4083107670
121a9385a24120
13a2ca0a78580
144c37cd8225a
1526a39c10810
hex148574f85a8

1410214102440 has 128 divisors (see below), whose sum is σ = 4970265148800. Its totient is φ = 315572382720.

The previous prime is 1410214102411. The next prime is 1410214102489. The reversal of 1410214102440 is 442014120141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1410214102440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41072995 + ... + 41107314.

It is an arithmetic number, because the mean of its divisors is an integer number (38830196475).

Almost surely, 21410214102440 is an apocalyptic number.

1410214102440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1410214102440 is an abundant number, since it is smaller than the sum of its proper divisors (3560051046360).

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

1410214102440 is a wasteful number, since it uses less digits than its factorization.

1410214102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82180347 (or 82180343 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1410214102440 its reverse (442014120141), we get a palindrome (1852228222581).

The spelling of 1410214102440 in words is "one trillion, four hundred ten billion, two hundred fourteen million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 82180309 164360618 246540927 328721236 410901545 493081854 657442472 821803090 903983399 986163708 1068344017 1232704635 1643606180 1807966798 1972327416 2136688034 2465409270 2711950197 3205032051 3287212360 3615933596 4273376068 4519916995 4930818540 5341720085 5423900394 6410064102 7231867192 8546752136 9039833990 9861637080 10683440170 10847800788 11751784187 12820128204 13559750985 16025160255 18079667980 21366880340 21695601576 23503568374 25640256408 27119501970 32050320510 35255352561 36159335960 42733760680 47007136748 54239003940 58758920935 64100641020 70510705122 94014273496 108478007880 117517841870 128201282040 141021410244 176276762805 235035683740 282042820488 352553525610 470071367480 705107051220 1410214102440