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1424021464440 = 233354132159473
BaseRepresentation
bin10100101110001110010…
…010110010010101111000
312001010122111121121212000
4110232032102302111320
5141312343443330230
63010104134021000
7204611402506041
oct24561622622570
95033574547760
101424021464440
114a9a18aa1043
121abb99aa7760
13a43914aa063
144cccca318c8
1527096e90b60
hex14b8e4b2578

1424021464440 has 128 divisors (see below), whose sum is σ = 4862512468800. Its totient is φ = 370477117440.

The previous prime is 1424021464417. The next prime is 1424021464447. The reversal of 1424021464440 is 444641204241.

1424021464440 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 2 + 1 + 4 + 644 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1424021464395 and 1424021464404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424021464447) 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, 16035457 + ... + 16124016.

Almost surely, 21424021464440 is an apocalyptic number.

1424021464440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424021464440 is an abundant number, since it is smaller than the sum of its proper divisors (3438491004360).

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

1424021464440 is a wasteful number, since it uses less digits than its factorization.

1424021464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32159534 (or 32159524 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 1424021464440 its reverse (444641204241), we get a palindrome (1868662668681).

The spelling of 1424021464440 in words is "one trillion, four hundred twenty-four billion, twenty-one million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 44280 32159473 64318946 96478419 128637892 160797365 192956838 257275784 289435257 321594730 385913676 482392095 578870514 643189460 771827352 868305771 964784190 1157741028 1286378920 1318538393 1447176285 1736611542 1929568380 2315482056 2637076786 2894352570 3473223084 3859136760 3955615179 4341528855 5274153572 5788705140 6592691965 6946446168 7911230358 8683057710 10548307144 11577410280 11866845537 13185383930 15822460716 17366115420 19778075895 23733691074 26370767860 31644921432 34732230840 35600536611 39556151790 47467382148 52741535720 59334227685 71201073222 79112303580 94934764296 118668455370 142402146444 158224607160 178002683055 237336910740 284804292888 356005366110 474673821480 712010732220 1424021464440