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18011407440 = 24351331718211
BaseRepresentation
bin10000110001100100…
…000100010001010000
31201111020122022002110
4100301210010101100
5243341410014230
612135130545320
71205224302645
oct206144042120
951436568073
1018011407440
117702a73aa4
1235a7b98240
1319106c5950
14c2c159dcc
157063ad4b0
hex431904450

18011407440 has 160 divisors (see below), whose sum is σ = 60323389056. Its totient is φ = 4419348480.

The previous prime is 18011407411. The next prime is 18011407451. The reversal of 18011407440 is 4470411081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18011407398 and 18011407407.

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, 979935 + ... + 998145.

Almost surely, 218011407440 is an apocalyptic number.

18011407440 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 18011407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30161694528).

18011407440 is an abundant number, since it is smaller than the sum of its proper divisors (42311981616).

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

18011407440 is a wasteful number, since it uses less digits than its factorization.

18011407440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18557 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 18011407440 in words is "eighteen billion, eleven million, four hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 317 390 520 624 634 780 951 1040 1268 1560 1585 1902 2536 3120 3170 3804 4121 4755 5072 6340 7608 8242 9510 12363 12680 15216 16484 18211 19020 20605 24726 25360 32968 36422 38040 41210 49452 54633 61815 65936 72844 76080 82420 91055 98904 109266 123630 145688 164840 182110 197808 218532 236743 247260 273165 291376 329680 364220 437064 473486 494520 546330 710229 728440 874128 946972 989040 1092660 1183715 1420458 1456880 1893944 2185320 2367430 2840916 3551145 3787888 4370640 4734860 5681832 5772887 7102290 9469720 11363664 11545774 14204580 17318661 18939440 23091548 28409160 28864435 34637322 46183096 56818320 57728870 69274644 75047531 86593305 92366192 115457740 138549288 150095062 173186610 225142593 230915480 277098576 300190124 346373220 375237655 450285186 461830960 600380248 692746440 750475310 900570372 1125712965 1200760496 1385492880 1500950620 1801140744 2251425930 3001901240 3602281488 4502851860 6003802480 9005703720 18011407440