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1134310434000 = 24353971948987
BaseRepresentation
bin10000100000011010001…
…010111010010011010000
311000102212001012101221120
4100200122022322103100
5122041031432342000
62225032305122240
7144644161414242
oct20403212722320
94012761171846
101134310434000
113a8070739977
12163a06329380
1382c711a3b23
143cc88194092
151e78cc206a0
hex1081a2ba4d0

1134310434000 has 160 divisors (see below), whose sum is σ = 3694719939456. Its totient is φ = 299364249600.

The previous prime is 1134310433969. The next prime is 1134310434031. The reversal of 1134310434000 is 4340134311.

It is an interprime number because it is at equal distance from previous prime (1134310433969) and next prime (1134310434031).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 392494 + ... + 1556493.

Almost surely, 21134310434000 is an apocalyptic number.

1134310434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134310434000 is an abundant number, since it is smaller than the sum of its proper divisors (2560409505456).

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

1134310434000 is a wasteful number, since it uses less digits than its factorization.

1134310434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949110 (or 1949094 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1134310434000 its reverse (4340134311), we get a palindrome (1138650568311).

The spelling of 1134310434000 in words is "one trillion, one hundred thirty-four billion, three hundred ten million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 125 150 194 200 240 250 291 300 375 388 400 485 500 582 600 750 776 970 1000 1164 1200 1455 1500 1552 1940 2000 2328 2425 2910 3000 3880 4656 4850 5820 6000 7275 7760 9700 11640 12125 14550 19400 23280 24250 29100 36375 38800 48500 58200 72750 97000 116400 145500 194000 291000 582000 1948987 3897974 5846961 7795948 9744935 11693922 15591896 19489870 23387844 29234805 31183792 38979740 46775688 48724675 58469610 77959480 93551376 97449350 116939220 146174025 155918960 189051739 194898700 233878440 243623375 292348050 378103478 389797400 467756880 487246750 567155217 584696100 730870125 756206956 779594800 945258695 974493500 1134310434 1169392200 1461740250 1512413912 1890517390 1948987000 2268620868 2338784400 2835776085 2923480500 3024827824 3781034780 3897974000 4537241736 4726293475 5671552170 5846961000 7562069560 9074483472 9452586950 11343104340 11693922000 14178880425 15124139120 18905173900 22686208680 23631467375 28357760850 37810347800 45372417360 47262934750 56715521700 70894402125 75620695600 94525869500 113431043400 141788804250 189051739000 226862086800 283577608500 378103478000 567155217000 1134310434000