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14661442950 = 23527112115399
BaseRepresentation
bin11011010011110001…
…11101110110000110
31101211210002110201120
431221320331312012
5220011312133300
610422501334410
71026216131430
oct155170756606
941753073646
1014661442950
116244003100
122a12107406
1314c866b43b
149d1295650
155ac23b3a0
hex369e3dd86

14661442950 has 144 divisors (see below), whose sum is σ = 45676243200. Its totient is φ = 3046507200.

The previous prime is 14661442949. The next prime is 14661442951. The reversal of 14661442950 is 5924416641.

It is an interprime number because it is at equal distance from previous prime (14661442949) and next prime (14661442951).

It is a super-2 number, since 2×146614429502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14661442951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69351 + ... + 184749.

Almost surely, 214661442950 is an apocalyptic number.

14661442950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14661442950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838121600).

14661442950 is an abundant number, since it is smaller than the sum of its proper divisors (31014800250).

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

14661442950 is a wasteful number, since it uses less digits than its factorization.

14661442950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115443 (or 115427 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 14661442950 in words is "fourteen billion, six hundred sixty-one million, four hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 121 150 154 165 175 210 231 242 275 330 350 363 385 462 525 550 605 726 770 825 847 1050 1155 1210 1650 1694 1815 1925 2310 2541 3025 3630 3850 4235 5082 5775 6050 8470 9075 11550 12705 18150 21175 25410 42350 63525 115399 127050 230798 346197 576995 692394 807793 1153990 1269389 1615586 1730985 2423379 2538778 2884975 3461970 3808167 4038965 4846758 5769950 6346945 7616334 8077930 8654925 8885723 12116895 12693890 13963279 17309850 17771446 19040835 20194825 24233790 26657169 27926558 31734725 38081670 40389650 41889837 44428615 53314338 60584475 63469450 69816395 83779674 88857230 95204175 97742953 121168950 133285845 139632790 190408350 195485906 209449185 222143075 266571690 293228859 349081975 418898370 444286150 488714765 586457718 666429225 698163950 977429530 1047245925 1332858450 1466144295 2094491850 2443573825 2932288590 4887147650 7330721475 14661442950