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4123040322440 = 23513149379140407
BaseRepresentation
bin111011111111111000010…
…110101001001110001000
3112121011021202202200202102
4323333320112221032020
51020022441310304230
612434033143052532
7603610532331254
oct73777026511610
915534252680672
104123040322440
11134a631857a66
125670a5a41148
1323ba54b44860
141037b0387264
15723b2d1c045
hex3bff85a9388

4123040322440 has 128 divisors (see below), whose sum is σ = 10084102560000. Its totient is φ = 1508135666688.

The previous prime is 4123040322439. The next prime is 4123040322449. The reversal of 4123040322440 is 442230403214.

It is a super-2 number, since 2×41230403224402 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4123040322449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29294717 + ... + 29435123.

It is an arithmetic number, because the mean of its divisors is an integer number (78782051250).

Almost surely, 24123040322440 is an apocalyptic number.

4123040322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123040322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042051280000).

4123040322440 is an abundant number, since it is smaller than the sum of its proper divisors (5961062237560).

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

4123040322440 is a wasteful number, since it uses less digits than its factorization.

4123040322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140959 (or 140955 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4123040322440 its reverse (442230403214), we get a palindrome (4565270725654).

The spelling of 4123040322440 in words is "four trillion, one hundred twenty-three billion, forty million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 379 520 596 745 758 1192 1490 1516 1895 1937 2980 3032 3790 3874 4927 5960 7580 7748 9685 9854 15160 15496 19370 19708 24635 38740 39416 49270 56471 77480 98540 112942 140407 197080 225884 280814 282355 451768 561628 564710 702035 734123 1123256 1129420 1404070 1468246 1825291 2258840 2808140 2936492 3650582 3670615 5616280 5872984 7301164 7341230 9126455 14602328 14682460 18252910 20920643 29364920 36505820 41841286 53214253 73011640 83682572 104603215 106428506 167365144 209206430 212857012 266071265 271968359 418412860 425714024 532142530 543936718 691785289 836825720 1064285060 1087873436 1359841795 1383570578 2128570120 2175746872 2719683590 2767141156 3458926445 5439367180 5534282312 6917852890 7928923697 10878734360 13835705780 15857847394 27671411560 31715694788 39644618485 63431389576 79289236970 103076008061 158578473940 206152016122 317156947880 412304032244 515380040305 824608064488 1030760080610 2061520161220 4123040322440