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141497400 = 233521121949
BaseRepresentation
bin10000110111100…
…01010000111000
3100212020210221110
420123301100320
5242210404100
622012440320
73335464602
oct1033612070
9325223843
10141497400
1172965100
123b4790a0
1323412a95
1414b14172
15c650250
hex86f1438

141497400 has 144 divisors (see below), whose sum is σ = 482391000. Its totient is φ = 34284800.

The previous prime is 141497393. The next prime is 141497407. The reversal of 141497400 is 4794141.

141497400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141497393) and next prime (141497407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141497407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71626 + ... + 73574.

Almost surely, 2141497400 is an apocalyptic number.

141497400 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 141497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241195500).

141497400 is an abundant number, since it is smaller than the sum of its proper divisors (340893600).

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

141497400 is a wasteful number, since it uses less digits than its factorization.

141497400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 141497400 is about 11895.2679667168. The cubic root of 141497400 is about 521.0940967651.

The spelling of 141497400 in words is "one hundred forty-one million, four hundred ninety-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 1949 2200 2420 2904 3025 3300 3630 3898 4840 5847 6050 6600 7260 7796 9075 9745 11694 12100 14520 15592 18150 19490 21439 23388 24200 29235 36300 38980 42878 46776 48725 58470 64317 72600 77960 85756 97450 107195 116940 128634 146175 171512 194900 214390 233880 235829 257268 292350 321585 389800 428780 471658 514536 535975 584700 643170 707487 857560 943316 1071950 1169400 1179145 1286340 1414974 1607925 1886632 2143900 2358290 2572680 2829948 3215850 3537435 4287800 4716580 5659896 5895725 6431700 7074870 9433160 11791450 12863400 14149740 17687175 23582900 28299480 35374350 47165800 70748700 141497400