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1014113140440 = 233541433476029
BaseRepresentation
bin11101100000111011101…
…10100111111011011000
310120221121021210020120020
432300131312213323120
5113103400430443230
62053513244030440
7133160445316041
oct16603566477330
93527537706506
101014113140440
113610a0480224
12144660532420
137482716c30a
14371249718c8
151b5a5797810
hexec1dda7ed8

1014113140440 has 128 divisors (see below), whose sum is σ = 3123746942400. Its totient is φ = 263224442880.

The previous prime is 1014113140429. The next prime is 1014113140457. The reversal of 1014113140440 is 440413114101.

It is a super-2 number, since 2×10141131404402 (a number of 25 digits) contains 22 as substring.

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 1014113140440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892346 + ... + 2368374.

Almost surely, 21014113140440 is an apocalyptic number.

1014113140440 is a gapful number since it is divisible by the number (10) 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 1014113140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561873471200).

1014113140440 is an abundant number, since it is smaller than the sum of its proper divisors (2109633801960).

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

1014113140440 is a wasteful number, since it uses less digits than its factorization.

1014113140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476517 (or 476513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1014113140440 its reverse (440413114101), we get a palindrome (1454526254541).

The spelling of 1014113140440 in words is "one trillion, fourteen billion, one hundred thirteen million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 433 492 615 820 866 984 1230 1299 1640 1732 2165 2460 2598 3464 4330 4920 5196 6495 8660 10392 12990 17320 17753 25980 35506 51960 53259 71012 88765 106518 142024 177530 213036 266295 355060 426072 476029 532590 710120 952058 1065180 1428087 1904116 2130360 2380145 2856174 3808232 4760290 5712348 7140435 9520580 11424696 14280870 19041160 19517189 28561740 39034378 57123480 58551567 78068756 97585945 117103134 156137512 195171890 206120557 234206268 292757835 390343780 412241114 468412536 585515670 618361671 780687560 824482228 1030602785 1171031340 1236723342 1648964456 2061205570 2342062680 2473446684 3091808355 4122411140 4946893368 6183616710 8244822280 8450942837 12367233420 16901885674 24734466840 25352828511 33803771348 42254714185 50705657022 67607542696 84509428370 101411314044 126764142555 169018856740 202822628088 253528285110 338037713480 507056570220 1014113140440